To me, it's a fairly strange list, with a bunch of movies that are unfamiliar to me. So, bold for ones I've seen, italics for ones I intend to see, small print for ones that have no name recognition at all.
Aguirre: the Wrath of God (1972)
The Apu Trilogy (1955, 1956, 1959)
The Awful Truth (1937)
Baby Face (1933)
Bande à part (1964)
Barry Lyndon (1975)
Berlin Alexanderplatz (1980)
Blade Runner (1982)
Bonnie and Clyde (1967)
Brazil (1985)
Bride of Frankenstein (1935)
Camille (1936)
Casablanca (1942)
Charade (1963)
Children of Paradise (1945)
Chinatown (1974)
Chungking Express (1994)
Citizen Kane (1941)
City Lights (1931)
City of God (2002)
Closely Watched Trains (1966)
The Crime of Monsieur Lange (1936)
The Crowd (1928)
Day for Night (1973)
The Decalogue (1989)
Detour (1945)
The Discreet Charm of the Bourgeoisie (1972)
Dodsworth (1936)
Double Indemnity (1944)
Dr. Strangelove: or How I Learned to Stop Worrying and Love the Bomb (1964)
Drunken Master II (1994)
E.T. The Extra-Terrestrial (1982)
8 1/2 (1963)
The 400 Blows (1959)
Farewell My Concubine (1993)
Finding Nemo (2003)
The Fly (1986)
The Godfather, Parts I and II (1972, 1974)
The Good, The Bad and The Ugly (1966)
Goodfellas (1990)
A Hard Day's Night (1964)
His Girl Friday (1940)
Ikiru (1952)
In A Lonely Place (1950)
Invasion of the Body Snatchers (1956)
It's A Gift (1934)
It's A Wonderful Life (1946)
Kandahar (2001)
Kind Hearts and Coronets (1949)
King Kong (1933)
The Lady Eve (1941)
The Last Command (1928)
Lawrence of Arabia (1962)
Léolo (1992)
The Lord of the Rings (2001-03)
The Man With a Camera (1929)
The Manchurian Candidate (1962)
Meet Me in St. Louis (1944)
Metropolis (1927) I've seen the version re-released in the 80's, assuming that counts.
Miller's Crossing (1990)
Mon oncle d'Amérique (1980)
Mouchette (1967)
Nayakan (1987)
Ninotchka (1939)
Notorious (1946)
Olympia, Parts 1 and 2 (1938)
On the Waterfront (1954)
Once Upon a Time in the West (1968)
Out of the Past (1947)
Persona (1966)
Pinocchio (1940)
Psycho (1960)
Pulp Fiction (1994)
The Purple Rose of Cairo (1985)
Pyaasa (1957)
Raging Bull (1980)
Schindler's List (1993)
The Searchers (1956)
Sherlock, Jr. (1924)
The Shop Around the Corner (1940)
Singin' in the Rain (1952)
The Singing Detective (1986)
Smiles of a Summer Night (1955)
Some Like It Hot (1959)
Star Wars (1977)
A Streetcar Named Desire (1951) Although I tend to think of this in terms of a play, rather than the movie.
Sunrise (1927)
Sweet Smell of Success (1957)
Swing Time (1936)
Talk to Her (2002)Taxi Driver (1976)
Tokyo Story (1953)
A Touch of Zen (1971)
Ugetsu (1953)
Ulysses' Gaze (1995)
Umberto D (1952)
Unforgiven (1992)
White Heat (1949)
Wings of Desire (1987)
Yojimbo (1961)