[Fire HD 6 and 7 General] Slickone_:
I've disabled a lot of apps by using a couple other "safe to remove" lists, without noticing any problems so far. Below is what I've disabled and what list I used.

From http://xdaforums.com/amazon-fire/general/safe-to-remove-5-0-1-bloatware-2015-t3239582

[That thread is for the 2015 Fire but app names are mostly the same as the 2014]

DISABLED:

com.amazon.webapp | Bookstore

com.amazon.zico | Documents | 2.0_205111610

com.amazon.mp3 | Amazon music

com.android.music |Music | 10.0.51-D-20151009-NA-7

com.amazon.kindle | Kindle Reader

com.audible.application.kindle | Audible

com.amazon.tahoe | FreeTime | 1.5.345.26-FreeTimeForTabletGen6_201365610

com.amazon.kindle.otter.oobe | Device Setup | 1.0.171.0_3337310

com.amazon.client.metrics | Amazon Metrics Service Application | 1.0.175.0_9610

com.amazon.device.backup | Amazon Backup and Restore | 5.0.410.0_5107610

com.amazon.platform | Amazon platform | 1.0.9.2_1009710

com.amazon.photos | photos FOS | 20115210 (Need to change the background image)

com.amazon.whisperlink.core.android

com.amazon.camera | Camera | 1.0.088.0_1002120310

com.amazon.csapp Help App

com.amazon.legalsettings Legal Settings App

com.amazon.venezia Amazon App Store

com.amazon.h2settingsfortablet Profiles & Family Library App

com.amazon.weather Weather App

com.goodreads.kindle | Goodreads | 1.6.1+1060100710

com.android.calendar | Calendar App

com.amazon.kindle.kso | Special Offers / Adds

com.android.email | Email App

com.amazon.kindle.personal_video Video App

com.amazon.avod Video App

com.amazon.windowshop Amazon Windowshop

com.amazon.cloud9 | Silk Browser App

com.amazon.ags.app | Amazon Game Circle App

com.amazon.kindle.otter.settings | Amazon Registration Service

com.amazon.otaverifier |

com.amazon.settings.systemupdates

com.amazon.firelauncher

com.android.inputmethod.latin | Fire Basic Keyboard | 5.1-37.5.2.2_user_522054520

(English Fire keyboard)

I DON'T HAVE:

com.amazon.kindle.otter

com.nuance.edr.androidservice.service

com.amazon.contacts Contacts App

com.amazon.device.software.ota | DeviceSoftwareOTA | 6.0.188.0_6037810

com.android.inputmethod.pinyin | Fire Basic Keyboard (Simplified Chinese) | 5.1_37.5.22_user_522054520

com.android.inputmethod.latin | Fire Basic Keyboard (Latin a,b,c...) | 5.1-37.5.2.2_user_522054520

jp.co.omronsoft.iwnnime.mlaz | Standard Japanese Keyboard

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Plus, from http://xdaforums.com/showpost.php?p=63660773&postcount=7

DISABLED:

com.amazon.calculator

com.amazon.kcp.tutorial

com.amazon.geo.client.maps

com.android.providers.calendar

com.android.contacts

com.android.providers.contacts

com.amazon.unifiedsharefacebook

com.amazon.unifiedsharegoodreads

com.amazon.unifiedsharetwitter

com.amazon.unifiedsharesinaweibo

com.audible.application.store

com.android.deskclock

com.amazon.photos.importer

com.amazon.socialplatform

com.amazon.parentalcontrols

com.android.providers.downloads.ui

I DONT HAVE:

com.amazon.dp.contacts

com.amazon.do.fbcontacts

There are some others mentioned in posts throughout that first thread.

Also browsing through some of the Fire's folders, it seems there are others that could be disabled. Anyone have any others?