Ok, I'll try, but keep in mind, that there were a lot of well known films that I didn't lile (for example, I didn't like any film with Katharine Hepburn in it; although i've tried it three times, I've never finished Casablanca).

Anyway, If you are interested in classic movies I think the best way to start is with Frank Capra (1932 - American Madness, 1933 - Lady for a Day, 1934 - It Happened One Night, 1936 - Mr. Deeds Goes to Town, 1938 - You Can't Take It with You, 1939 - Mr. Smith Goes to Washington), Preston Sturges (1940 - The Great McGinty, 1940 - Christmas in July, 1941 - Sullivan's Travels), some of Myrna Loy & William Powell films (1934 - Thin Man, 1936 - After the Thin Man, 1936 - Libeled Lady) and possibly Charlie Chaplin later films (1931 - City Lights, 1952 - Limelight). Continue to

Dramas: 1957 - Le notti di Cabiria - Federico Fellini; 1957 - Il Grido - Michelangelo Antonioni; 1957 - Paths of Glory - Stanley Kubrick; 1952 - Ikiru - Akira Kurosawa; 1954 - A Big Family - Iosif Kheifits; 1951 - The Browning Version - Anthony Asquith; 1959 - Les quatre cents coups - Francois Truffaut; 1959 - Room At The Top - Jack Clayton; 1962 - The Loneliness of the Long Distance Runner - Tony Richardson; 1962 - Nine Days in a Year - Mikhail Romm; 1960 - The Lady with the Dog - Iosif Kheifits; 1962 - Il Sorpasso - Dino Risi; 1961 - La Ragazza con la valigia - Valerio Zurlini; 1948 - Ladri di biciclette - Vittorio De Sica; 1945 - Les Dames du Bois de Boulogne - Robert Bresson; 1936 - Dodsworth - William Wyler; 1937 - La Grande Illusion - Jean Renoir; 1940 - City for Conquest - Anatole Litvak; 1941 - Citizen Kane - Orson Welles; 1941 - H.M. Pulham, Esq - King Vidor; 1946 - The Best Years of Our Lives - William Wyler; 1942 - Now, Voyager - Irving Rapper; 1942 - Random Harvest - Mervyn LeRoy; 1960 - The Apartment - Billy Wilder; 1950 - Sunset Blvd. - Billy Wilder; 1962 - Lonely Are the Brave - David Miller; 1964 - The Americanization of Emily; 1965 - The Hill - Sidney Lumet; 1966 - A Man for All Seasons - Fred Zinnemann; 1966 - Nayak - Satyajit Ray; 1968 - The Heart Is a Lonely Hunter - Robert Ellis Miller; 1971 - The Hospital - Arthur Hiller; 1975 - Barry Lyndon - Stanley Kubrick; 1975 - One Flew Over the Cuckoo's Nest - Milos Forman; 1977 - Saturday Night Fever - John Badham; 1979 - ...And Justice for All - Norman Jewison.

Comedies: 1940 - The Shop Around The Corner - Ernst Lubitsch; 1939 - Destry Rides Again - George Marshall; 1950 - Father of the Bride - Vincente Minnelli; 1940 - Pride and Prejudice - Robert Z. Leonard; 1939 - Day-Time Wife - Gregory Ratoff; 1934 - Little Miss Marker - Alexander Hall; 1935 - The Gilded Lily - Wesley Ruggles; 1935 - If You Could Only Cook - William A. Seiter; 1935 - Ruggles of Red Gap - Leo McCarey; 1936 - My Man Godfrey - Gregory La Cava; 1937 - Easy Living - Mitchel Liesen; 1937 - Topper - Norman Z. McLeod; 1938 - Merrily We Live - Norman Z. McLeod; 1940 - My Favorite Wife - Garson Kanin; 1941 - Ball of Fire - Howard Hawks; 1941 - It Started with Eve - Henry Koster; 1941 - Charley's Aunt - Archie Mayo; 1942 - Larceny, Inc. - Lloyd Bacon; 1942 - The Big Street - Irving Reis; 1942 - The Major and the Minor - Billy Wilder; 1943 - The More the Merrier - George Stevens; 1948 - Sitting Pretty - Walter Lang; 1947 - Miracle on 34th Street - George Seaton; 1947 - Mr. Blandings Builds His Dream House - H.C. Potter; 1949 - Little Women - Mervyn LeRoy; 1955 - Marty - Delbert Mann; 1956 - Spring on Zarechnaya Street - Marlen Khutsiev; 1957 - Porte Des Lilas - Rene Clair; 1958 - Mon Oncle - Jascques Tati; 1959 - Some Like It Hot - Billy Wilder; 1960 - Make Mine Mink - Robert Asher; 1963 - Sunday in New York - Peter Tewksbury; 1963 - Il Giovedi - Dino Risi; 1963 - Three Plus Two - Genrikh Oganisyan; 1964 - Walking the Streets of Moscow - Georgiy Daneliya; 1964 - A Hard Day's Night - Richard Lester; 1968 - The Odd Couple - Gene Saks; 1977 - The Goodbye Girl - Herbert Ross; 1978 - Same Time Next Year - Robert Mulligan

Crime/Action: 1969 - The Italian Job - Peter Collinson; 1974 - The Taking of Pelham One Two Three - Joseph Sargent; 1967 - Le Samurai - Jean-Pierre Melville; 1960 - Le Trou - Jacques Becker; 1960 - Un taxi pour Tobrouk - Denys de La Patelliere; 1970 - They Call Me Trinity - Enzo Barboni; 1973 - Papillon - Franklin J. Schaffner; 1973 - The Sting - George Roy Hill; 1973 - The Last Detail - Hal Ashby; 1975 - The Great Waldo Pepper - George Roy Hill; 1975 - Three Days of the Condor - Sydney Pollack; 1976 - The Seven-Per-Cent Solution - Herbert Ross; 1977 - Capricorn One - Peter Hyams; 1977 - Smokey and the Bandit - Hal Needham; 1939 - The Roaring Twenties - Raoul Walsh; 1939 - Beau Geste - William A. Wellman; 1939 - Stagecoach - John Ford; 1941 - The Gay Falcon - Irving Reis; 1941 - I Wake Up Screaming - Bruce Humberstone; 1941 - Johnny Eager - Mervyn LeRoy

I didn't like any film noir but three: 1946 - Nobody Lives Forever - Jean Negulesco; 1946 - The Killers - Robert Siodmak; 1956 - The Killing - Stanley Kubrick. There also were two great spoofs 1947 - My Favorite Brunette - Elliott Nugent and 1971 - Gumshoe - Stephen Frears.

I don't enjoy musicals, westerns and 'epic' historical films, so I can't recommend anything.