<PAGE>   1
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                             ----------------------

                                    FORM 10-Q

(MARK ONE)

[x]         QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
            EXCHANGE ACT OF 1934

For the quarterly period ended       March 31, 1998
                               -------------------------------

                                       OR

[ ]         TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
            EXCHANGE ACT OF 1934

For the transition period from _______________________ to ______________________

                         Commission File Number 0-14508
                                                -------

Enstar Income Program II-1, L.P.
--------------------------------------------------------------------------------
             (Exact name of Registrant as specified in its charter)

          Georgia                                             58-1628877
-------------------------------                          -----------------------
(State or other jurisdiction of                             (I.R.S. Employer
 incorporation or organization)                          Identification Number)

10900 Wilshire Boulevard - 15th Floor
    Los Angeles, California                                      90024
----------------------------------------                 -----------------------
(Address of principal executive offices)                       (Zip Code)

Registrant's telephone number, including area code:   (310) 824-9990
                                                   --------------------


--------------------------------------------------------------------------------
               Former name, former address and former fiscal year,
                          if changed since last report.


            Indicate by check mark whether the registrant (1) has filed all
reports required to be filed by Section 13 or 15(d) of the Securities Exchange
Act of 1934 during the preceding 12 months (or for such shorter period that the
registrant was required to file such reports), and (2) has been subject to such
filing requirements for the past 90 days. Yes  X   No
                                             -----   -----


<PAGE>   2

                         PART I - FINANCIAL INFORMATION

                        ENSTAR INCOME PROGRAM II-1, L.P.

                            CONDENSED BALANCE SHEETS

                        ================================


<TABLE>
<CAPTION>
                                                                     December 31,        March 31,
                                                                        1997*             1998
                                                                     -----------       -----------
                                                                                       (Unaudited)
<S>                                                                  <C>               <C>
ASSETS:
   Cash and cash equivalents                                         $ 1,778,300       $ 1,645,500

   Accounts receivable, less allowance of $11,000 and
      $3,200 for possible losses                                          48,800            15,500

   Prepaid expenses and other assets                                     351,000           367,300

   Property, plant and equipment, less accumulated
      depreciation and amortization of $4,419,300 and $4,510,700       3,765,500         3,880,100

   Franchise cost, net of accumulated
      amortization of $26,800 and $29,300                                 64,700            63,200

   Deferred charges, net                                                   6,800             8,100
                                                                     -----------       -----------

                                                                     $ 6,015,100       $ 5,979,700
                                                                     ===========       ===========

                               LIABILITIES AND PARTNERSHIP CAPITAL
                               -----------------------------------

LIABILITIES:
   Accounts payable                                                  $   457,600       $   282,600
   Due to affiliates                                                     192,200           189,600
                                                                     -----------       -----------

              TOTAL LIABILITIES                                          649,800           472,200
                                                                     -----------       -----------

COMMITMENTS AND CONTINGENCIES

PARTNERSHIP CAPITAL (DEFICIT):
   General partners                                                      (20,300)          (18,800)
   Limited partners                                                    5,385,600         5,526,300
                                                                     -----------       -----------

              TOTAL PARTNERSHIP CAPITAL                                5,365,300         5,507,500
                                                                     -----------       -----------

                                                                     $ 6,015,100       $ 5,979,700
                                                                     ===========       ===========
</TABLE>



               *As presented in the audited financial statements.
           See accompanying notes to condensed financial statements.


                                      -2-


<PAGE>   3

                        ENSTAR INCOME PROGRAM II-1, L.P.

                       CONDENSED STATEMENTS OF OPERATIONS

                       ==================================




<TABLE>
<CAPTION>
                                                              Unaudited
                                                       ------------------------
                                                          Three months ended
                                                              March 31,
                                                       ------------------------
                                                          1997          1998
                                                       ---------      ---------
<S>                                                    <C>            <C>      
REVENUES                                               $ 738,100      $ 769,700
                                                       ---------      ---------

OPERATING EXPENSES:
   Service costs                                         213,800        229,600
   General and administrative expenses                    48,800         90,800
   General Partner management fees
      and reimbursed expenses                            112,200        121,200
   Depreciation and amortization                          69,900        108,400
                                                       ---------      ---------

                                                         444,700        550,000
                                                       ---------      ---------

OPERATING INCOME                                         293,400        219,700
                                                       ---------      ---------

OTHER INCOME (EXPENSE):
   Interest income                                        35,200         20,300
   Interest expense                                       (3,100)        (3,300)
   Other income                                           13,200          --
                                                       ---------      ---------

                                                          45,300         17,000
                                                       ---------      ---------

NET INCOME                                             $ 338,700      $ 236,700
                                                       =========      =========

Net income allocated to General Partners               $   3,400      $   2,400
                                                       =========      =========

Net income allocated to Limited Partners               $ 335,300      $ 234,300
                                                       =========      =========

NET INCOME PER UNIT OF LIMITED
   PARTNERSHIP INTEREST                                $   11.20      $    7.83
                                                       =========      =========

AVERAGE LIMITED PARTNERSHIP
   UNITS OUTSTANDING DURING PERIOD                        29,936         29,936
                                                       =========      =========
</TABLE>



            See accompanying notes to condensed financial statements.


                                      -3-

<PAGE>   4

                        ENSTAR INCOME PROGRAM II-1, L.P.

                            STATEMENTS OF CASH FLOWS

                        ================================



<TABLE>
<CAPTION>
                                                                                 Unaudited
                                                                        -----------------------------
                                                                             Three months ended
                                                                                  March 31,
                                                                        -----------------------------
                                                                           1997              1998
                                                                        -----------       -----------
<S>                                                                     <C>               <C>
CASH FLOWS FROM OPERATING ACTIVITIES:
   Net income                                                           $   338,700       $   236,700
   Adjustments to reconcile net income to net cash
      provided by operating activities:
         Depreciation and amortization                                       69,900           108,400
         Increase (decrease) from changes in:
            Accounts receivable, prepaid expenses and other assets            5,100            17,000
            Accounts payable and due to affiliates                           45,100          (177,600)
                                                                        -----------       -----------

                 Net cash provided by operating activities                  458,800           184,500
                                                                        -----------       -----------

CASH FLOWS FROM INVESTING ACTIVITIES:
   Capital expenditures                                                     (67,400)         (218,600)
   Increase in intangible assets                                             (3,500)           (4,200)
                                                                        -----------       -----------

                 Net cash used in investing activities                      (70,900)         (222,800)
                                                                        -----------       -----------

CASH FLOWS FROM FINANCING ACTIVITIES:
   Distributions to partners                                                (94,500)          (94,500)
                                                                        -----------       -----------

INCREASE (DECREASE) IN CASH
   AND CASH EQUIVALENTS                                                     293,400          (132,800)

CASH AND CASH EQUIVALENTS
   AT BEGINNING OF PERIOD                                                 2,849,600         1,778,300
                                                                        -----------       -----------

CASH AND CASH EQUIVALENTS
   AT END OF PERIOD                                                     $ 3,143,000       $ 1,645,500
                                                                        ===========       ===========
</TABLE>





            See accompanying notes to condensed financial statements.


                                      -4-
<PAGE>   5

                        ENSTAR INCOME PROGRAM II-1, L.P.

                     NOTES TO CONDENSED FINANCIAL STATEMENTS

                     =======================================



1.          INTERIM FINANCIAL STATEMENTS

            The accompanying condensed interim financial statements for the
three months ended March 31, 1998 and 1997 are unaudited. These condensed
interim financial statements should be read in conjunction with the audited
financial statements and notes thereto included in the Partnership's latest
Annual Report on Form 10-K. In the opinion of management, such statements
reflect all adjustments (consisting only of normal recurring adjustments)
necessary for a fair presentation of the results of such periods. The results of
operations for the three months ended March 31, 1998 are not necessarily
indicative of results for the entire year.

2.          TRANSACTIONS WITH THE GENERAL PARTNERS AND AFFILIATES

            The Partnership has a management and service agreement with a wholly
owned subsidiary of the Corporate General Partner (the "Manager") for a monthly
management fee of 5% of revenues, excluding revenues from the sale of cable
television systems or franchises. Management fee expense approximated $38,500
for the three months ended March 31, 1998.

            In addition to the monthly management fee described above, the
Partnership reimburses the Manager for direct expenses incurred on behalf of the
Partnership and for the Partnership's allocable share of operational costs
associated with services provided by the Manager. All cable television
properties managed by the Corporate General Partner and its subsidiary are
charged a proportionate share of these expenses. The Corporate General Partner
has contracted with Falcon Holding Group, L.P. ("FHGLP"), an affiliated
partnership, to provide corporate management services for the Partnership.
Corporate office allocations and district office expenses are charged to the
properties served based primarily on the respective percentage of basic
subscribers or homes passed (dwelling units within a system) within the
designated service areas. The total amount charged to the Partnership for these
services approximated $82,700 for the three months ended March 31, 1998.
Management fees and reimbursed expenses due the Corporate General Partner are
non-interest bearing.

            Certain programming services have been purchased through an
affiliate of the Partnership. In turn, the affiliate charges the Partnership for
these costs based on an estimate of what the Corporate General Partner could
negotiate for such programming services for the 15 partnerships managed by the
Corporate General Partner as a group. The Partnership recorded programming fee
expense of $167,100 for the three months ended March 31, 1998. Programming fees
are included in service costs in the statements of operations.




                                      -5-
<PAGE>   6

                        ENSTAR INCOME PROGRAM II-1, L.P.

                     NOTES TO CONDENSED FINANCIAL STATEMENTS

                     =======================================



3.          EARNINGS PER UNIT OF LIMITED PARTNERSHIP INTEREST

            Earnings and losses per unit of limited partnership interest is
based on the average number of units outstanding during the periods presented.
For this purpose, earnings and losses have been allocated 99% to the Limited
Partners and 1% to the General Partners. The General Partners do not own units
of partnership interest in the Partnership, but rather hold a participation
interest in the income, losses and distributions of the Partnership.






                                      -6-

<PAGE>   7

                        ENSTAR INCOME PROGRAM II-1, L.P.


ITEM 2.       MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND
              RESULTS OF OPERATIONS INTRODUCTION

            The Cable Television Consumer Protection and Competition Act of 1992
(the "1992 Cable Act") required the Federal Communications Commission ("FCC")
to, among other things, implement extensive regulation of the rates charged by
cable television systems for basic and programming service tiers, installation,
and customer premises equipment leasing. Compliance with those rate regulations
has had a negative impact on the Partnership's revenues and cash flow. The
Telecommunications Act of 1996 (the "1996 Telecom Act") substantially changed
the competitive and regulatory environment for cable television and
telecommunications service providers. Among other changes, the 1996 Telecom Act
provides that the regulation of cable programming service tier ("CPST") rates
will be terminated on March 31, 1999. Because cable service rate increases have
continued to outpace inflation under the FCC's existing regulations, the
Partnership expects Congress and the FCC to explore additional methods of
regulating cable service rate increases, including deferral or repeal of the
March 31, 1999 termination of CPST rate regulation. There can be no assurance as
to what, if any, further action may be taken by the FCC, Congress or any other
regulatory authority or court, or the effect thereof on the Partnership's
business. Accordingly, the Partnership's historical financial results as
described below are not necessarily indicative of future performance.

            This Report includes certain forward looking statements regarding,
among other things, future results of operations, regulatory requirements,
competition, capital needs and general business conditions applicable to the
Partnership. Such forward looking statements involve risks and uncertainties
including, without limitation, the uncertainty of legislative and regulatory
changes and the rapid developments in the competitive environment facing cable
television operators such as the Partnership. In addition to the information
provided herein, reference is made to the Partnership's Annual Report on Form
10-K for the year ended December 31, 1997 for additional information regarding
such matters and the effect thereof on the Partnership's business.

RESULTS OF OPERATIONS

            The Partnership's revenues increased from $738,100 to $769,700, or
by 4.3%, for the three months ended March 31, 1998 as compared to the
corresponding period in 1997. Of the $31,600 increase, $36,900 was due to
increases in regulated service rates that were implemented by the Partnership in
1997 and $2,200 was due to an increase in other revenue producing items. These
increases were partially offset by a $7,500 decrease due to decreases in the
number of subscriptions for basic, premium, tier and equipment rental services.
As of March 31, 1998, the Partnership had approximately 6,900 basic subscribers
and 1,600 premium service units.

            Service costs increased from $213,800 to $229,600, or by 7.4%, for
the three months ended March 31, 1998 as compared to the corresponding quarter
in 1997. Service costs represent costs directly attributable to providing cable
services to customers. Programming fees accounted for the majority of the
increase. Programming expense increased primarily due to increases in rates
charged by program suppliers.



                                      -7-

<PAGE>   8

                        ENSTAR INCOME PROGRAM II-1, L.P.


RESULTS OF OPERATIONS (CONTINUED)

            General and administrative expenses increased from $48,800 to
$90,800, or by 86.1%, for the three months ended March 31, 1998 as compared to
the corresponding period in 1997. The increase was primarily due to increases in
bad debt expense, professional fees and marketing expenses and decreases in
capitalization of labor and overhead costs due to reductions in rebuild
construction activity in the Taylorville, Illinois franchise.

            Management fees and reimbursed expenses increased from $112,200 to
$121,200, or by 8.0%, for the three months ended March 31, 1998 as compared to
the corresponding period in 1997. Management fees increased in direct relation
to increased revenues as described above. Reimbursable expenses increased
primarily due to higher allocated personnel costs resulting from staff additions
and wage increases.

            Operating income before income taxes, depreciation and amortization
(EBITDA) is a commonly used financial analysis tool for measuring and comparing
cable television companies in several areas, such as liquidity, operating
performance and leverage. EBITDA as a percentage of revenues decreased from
49.2% to 42.6% during the three months ended March 31, 1998 as compared to the
corresponding quarter in 1997. The decrease was primarily due to higher
programming fees and bad debt expense and decreases in capitalization of labor
and overhead costs as described above. EBITDA decreased from $363,300 to
$328,100, or by 9.7%, during the three months ended March 31, 1998 as compared
to the corresponding period in 1997. EBITDA should be considered in addition to
and not as a substitute for net income and cash flows determined in accordance
with generally accepted accounting principles as an indicator of financial
performance and liquidity.

            Depreciation and amortization expense increased from $69,900 to
$108,400, or by 55.1%, for the three months ended March 31, 1998 as compared to
the corresponding period in 1997. The increase was the result of placing into
service a portion of the system rebuild in Taylorville, Illinois. Depreciation
and amortization expense will continue to increase significantly in future
periods as remaining portions of the system rebuild are placed into service.

            Operating income decreased from $293,400 to $219,700, or by 25.1%,
for the three months ended March 31, 1998 as compared to the equivalent period
in 1997, principally due to increased depreciation and amortization expense and
programming fees as described above.

            Interest income decreased from $35,200 to $20,300, or by 42.3%, for
the three months ended March 31, 1998 as compared to the corresponding period in
1997. The decrease was primarily due to lower average cash balances available
for investment.

            Due to the factors described above, the Partnership's net income
decreased from $338,700 to $236,700, or by 30.1%, for the three months ended
March 31, 1998 as compared to the corresponding period in 1997.




                                      -8-
<PAGE>   9

                        ENSTAR INCOME PROGRAM II-1, L.P.


LIQUIDITY AND CAPITAL RESOURCES

            The Partnership's primary objective, having invested its net
offering proceeds in cable systems, is to distribute to its partners all
available cash flow from operations and proceeds from the sale of cable systems,
if any, after providing for expenses and capital requirements relating to the
expansion, improvement and upgrade of its cable systems.

            At March 31, 1998, the Partnership had no debt outstanding. The
Partnership relies upon cash flow from operations to meet operating requirements
and fund necessary capital expenditures. Although the Partnership currently has
a significant cash balance, there can be no assurance that the Partnership's
cash flow will be adequate to meet its future liquidity requirements. The
Partnership is required to rebuild its Taylorville, Illinois cable system at an
estimated total cost of $2,500,000 under a provision of its franchise agreement
and is also rebuilding portions of its cable systems in surrounding communities
at an estimated additional cost of approximately $1,800,000. Construction costs
related to the entire rebuild approximated $2,784,300 as of December 31, 1997.
The Partnership has budgeted expenditures of approximately $1,500,000 in 1998 to
complete the rebuild. Rebuild construction costs approximated $183,200 during
the first three months of 1998. Other capital expenditures in the first quarter
of 1998 included approximately $35,400 for the improvement and upgrade of other
assets. The Partnership is required to upgrade its system in the community of
Gillespie, Illinois under a provision of its franchise agreement. Expenditures
for the upgrade, beginning in 1999, are projected to total approximately
$725,000. The Partnership expects to complete the project by the required
deadline of December 31, 1999. Additionally, the Partnership is planning to
upgrade its cable system in Litchfield, Illinois beginning in 1999 at an
estimated cost of approximately $1,250,000. As a result, the Partnership
intends, if possible, to maintain cash reserves. In the future, the Partnership
may also need to borrow.

            On September 30, 1997, Enstar Finance Company, LLC ("EFC"), a
subsidiary of the Corporate General Partner, obtained a secured bank facility of
$35 million from two agent banks in order to obtain funds that would in turn be
advanced to the Partnership and certain of the other partnerships managed by the
Corporate General Partner. The Partnership's maximum loan commitment is
approximately $799,600, which it will become eligible to borrow at such time as
the Partnership enters into a loan agreement with EFC. The partnership agreement
requires borrowings from an affiliate to be repaid within 12 months. Such funds
would be used to provide capital to fund future rebuild and upgrade
requirements.

            Borrowings will bear interest at the lender's base rate (8.5% at
March 31, 1998) plus 0.625%, or at an offshore rate plus 1.875%. The Partnership
will be permitted to prepay amounts outstanding under the facility at any time
without penalty, and will be able to reborrow throughout the term of the
facility up to the maximum commitment then available so long as no event of
default exists.

            The facility will contain certain financial tests and other
covenants including, among others, restrictions on incurrence of indebtedness,
investments, sale of assets, acquisitions and other covenants, defaults and
conditions. The facility will not restrict the payment of distributions to
partners unless an event of default exists thereunder.



                                      -9-

<PAGE>   10

                        ENSTAR INCOME PROGRAM II-1, L.P.


LIQUIDITY AND CAPITAL RESOURCES (CONTINUED)

            The Partnership paid distributions totaling $94,500 during the three
months ended March 31, 1998, and expects to continue to pay distributions at
this level during 1998. There can, however, be no assurances regarding the
level, timing or continuation of future distributions.

            Beginning in August 1997, the Partnership elected to self-insure its
cable distribution plant and subscriber connections against property damage as
well as possible business interruptions caused by such damage. The decision to
self-insure was made due to significant increases in the cost of insurance
coverage and decreases in the amount of insurance coverage available.

            While the Partnership has made the election to self-insure for these
risks based upon a comparison of historical damage sustained over the past five
years with the cost and amount of insurance currently available, there can be no
assurance that future self-insured losses will not exceed prior costs of
maintaining insurance for these risks. All of the Partnership's subscribers are
served by its system in Taylorville, Illinois and neighboring communities.
Significant damage to the system due to seasonal weather conditions or other
events could have a material adverse effect on the Partnership's liquidity and
cash flows. The Partnership continues to purchase insurance coverage in amounts
its management views as appropriate for all other property, liability,
automobile, workers' compensation and other types of insurable risks.

            The "Year 2000" issue refers to certain contingencies that could
result from computer programs being written using two digits rather than four to
define the year. Many existing computer systems, including certain of the
Partnership's computer systems, process transactions based on two digits for the
year of the transaction (for example, "98" for 1998). These computer systems may
not operate effectively when the last two digits become "00," as will occur on
January 1, 2000.

            The Corporate General Partner has commenced an assessment of the
Partnership's Year 2000 business risks and its exposure to computer systems, to
operating equipment which is date sensitive and to the interface systems of its
vendors and service providers. Based on a preliminary study, the Corporate
General Partner has concluded that certain of the Partnership's information
systems were not Year 2000 compliant and has elected to replace such software
and hardware with Year 2000 compliant applications and equipment, although the
decision to replace major portions of such software and hardware had previously
been made without regard to the Year 2000 issue. The Corporate General Partner
expects to install substantially all of the new systems in 1998, with the
remaining systems to be installed in the first half of 1999. The total
anticipated cost, including replacement software and hardware, will be borne by
FHGLP.

            In addition to evaluating internal systems, the Corporate General
Partner has also initiated communications with third party vendors and service
suppliers to determine the extent to which the Partnership's interface systems
are vulnerable should those third parties fail to solve their own Year 2000
problems on a timely basis. There can be no assurance that the systems of other
companies on which the Partnership's systems rely will be timely converted and
that the failure to do so would not have an adverse impact on the Partnership's
systems. The Corporate General Partner continues to closely monitor Year 2000
developments with vendors and service suppliers.



                                      -10-


<PAGE>   11

                        ENSTAR INCOME PROGRAM II-1, L.P.


LIQUIDITY AND CAPITAL RESOURCES (CONTINUED)

            THREE MONTHS ENDED MARCH 31, 1998 AND 1997

            Cash provided by operating activities decreased by $274,300 for the
three months ended March 31, 1998 as compared with the corresponding period in
1997. The Partnership used $222,700 more cash to pay liabilities owed to the
Corporate General Partner and third party creditors during the three months
ended March 31, 1998 due to differences in the timing of payments. Changes in
accounts receivable, prepaid expenses and other assets provided $11,900 more
cash in the first three months of 1998 than in the comparable quarter of 1997
due to the timing of receivable collections and the payment of prepaid expenses.

            The Partnership used $151,900 more cash in investing activities in
the three months ended March 31, 1998 than in the comparable period of 1997,
primarily due to a $151,200 increase in expenditures for tangible assets.

INFLATION

            Certain of the Partnership's expenses, such as those for wages and
benefits, equipment repair and replacement, and billing and marketing generally
increase with inflation. However, the Partnership does not believe that its
financial results have been, or will be, adversely affected by inflation in a
material way, provided that the Partnership is able to increase its service
rates periodically, of which there can be no assurance.





                                      -11-

<PAGE>   12

                        ENSTAR INCOME PROGRAM II-1, L.P.



PART II.          OTHER INFORMATION


ITEMS 1-5.        Not applicable.

ITEM 6.           Exhibits and Reports on Form 8-K

                  (a)      None.

                  (b)      No reports on Form 8-K were filed during the quarter
                           for which this report is filed.




<PAGE>   13


                                   SIGNATURES


Pursuant to the requirements of the Securities Exchange Act of 1934, the
Registrant has duly caused this report to be signed on its behalf by the
undersigned thereunto duly authorized.





                        ENSTAR INCOME PROGRAM II-1, L.P.

                          a GEORGIA LIMITED PARTNERSHIP
                          -----------------------------
                                  (Registrant)



                                      By: ENSTAR COMMUNICATIONS CORPORATION
                                          General Partner






Date:  May 14, 1998                   By: /s/ Michael K. Menerey
                                          --------------------------------
                                          Michael K. Menerey,
                                          Executive Vice President,
                                          Chief Financial Officer and
                                          Secretary