Source: Richard Corliss and Richard Schickel, for Time Magazine (2005)
Updated per my viewing: October 10, 2011.

Yet to See

Pather Panchali (1955, Satyajit Ray)
Aparajito (1956, Satyajit Ray)
The World of Apu (1959, Satyajit Ray)
Barry Lyndon (1975; Stanley Kubrick)
Berlin Alexanderplatz (1980)
Camille (1936; George Cukor)
The Crime of Monsieur Lange (1936; Jean Renoir)
The Crowd (1938; King Vidor)
The Decalogue (1989; Krzysztof Kieslowski)
Dodsworth (1936)
Drunken Master II (1994)
The Fly (1986; David Cronenberg)
It’s a Gift (1934)
Kandahar (2001)
The Last Command (1928)
Léolo (1992)
Mon oncle d’Amérique (1980)
Mouchette (1967)
Nayakan (1987)
Olympia (1938; Leni Reifenstahl)
Pyaasa (1957)
The Singing Detective (1986)
Tokyo Story (1953; Yasujiro Ozu)
A Touch of Zen (1971)
Ugetsu (1953)
Ulysses’ Gaze (1995)

Seen

Aguirre, the Wrath of God (1972; Werner Herzog)
The Awful Truth (1937; Leo McCarey)
Baby Face (1933)
Band of Outsiders (1964; Jean-Luc Godard)
Blade Runner (1982; Ridley Scott)
Bonnie & Clyde (1967; Arthur Penn)
Brazil (1985; Terry Gilliam)
Bride of Frankenstein (1935; James Whale)
Casablanca (1943; Michael Curtiz)
Charade (1963; Stanley Donen)
Children of Paradise (1945; Marcel Carne)
Chinatown (1974; Roman Polanski)
Chungking Express (1994; Wong Kar-Wai)
Citizen Kane (1941; Orson Welles)
City Lights (1931; Charles Chaplin)
City of God (2002; Fernando Mereilles)
Closely Watched Trains (1966)
Day for Night (1973; François Truffaut)
Detour (1945)
The Discreet Charm of the Bourgeoisie (1972; Luis Buñuel)
Double Indemnity (1944; Billy Wilder)
Dr. Strangelove (1964; Stanley Kubrick)
E.T.: The Extra-Terrestrial (1982; Steven Spielberg)
8 1/2 (1963; Federico Fellini)
The 400 Blows (1959; François Truffaut)
Farewell My Concubine (1993)
Finding Nemo (2003)
The Godfather (1972; Francis Ford Coppola)
The Godfather Part II (1974; Francis Ford Coppola)
The Good, the Bad, and the Ugly (1966; Sergio Leone)
GoodFellas (1990; Martin Scorsese)
A Hard Day’s Night (1964; Richard Lester)
His Girl Friday (1940; Howard Hawks)
Ikiru (1952; Akira Kurosawa)
In a Lonely Place (1950; Nicholas Ray)
Invasion of the Body Snatchers (1956; Don Siegel)
It’s a Wonderful Life (1946; Frank Capra)
Kind Hearts and Coronets (1949)
King Kong (1933; Marian C. Cooper)
The Lady Eve (1941; Preston Sturges)
Lawrence of Arabia (1962; David Lean)
The Lord of the Rings: Fellowship of the Ring (2001; Peter Jackson)
The Lord of the Rings: The Two Towers (2002; Peter Jackson)
The Lord of the Rings: Return of the King (2003; Peter Jackson)
Man With the Movie Camera (1929; Dziga Vertov)
The Manchurian Candidate (1962; John Frankenheimer)
Meet Me in St. Louis (1944; Vincente Minnelli)
Metropolis (1927; Fritz Lang)
Miller’s Crossing (1990; Joel & Ethan Coen)
Ninotchka (1939; Ernst Lubitsch)
Notorious (1946; Alfred Hitchcock)
On the Waterfront (1954; Elia Kazan)
Once Upon a Time in the West (1968; Sergio Leone)
Out of the Past (1947; Jacques Tourneur)
Persona (1966; Ingmar Bergman)
Pinocchio (1940; Wolfgang Reitherman)
Psycho (1960; Alfred Hitchcock)
The Purple Rose of Cairo (1985; Woody Allen)
Schindler’s List (1993; Steven Spielberg)
The Searchers (1956; John Ford)
Sherlock, Jr. (1924; Buster Keaton)
The Shop Around the Corner (1940; Ernst Lubitsch)
Singin’ in the Rain (1952; Stanley Donen & Gene Kelly)
Smiles of a Summer Night (1955; Ingmar Bergman)
Some Like It Hot (1959; Billy Wilder)
Star Wars (1977; George Lucas)
A Streetcar Named Desire (1951; Elia Kazan)
Sunrise: A Song of Two Humans (1937; F.W. Murnau)
Sweet Smell of Success (1957; Alexander MacKendrick)
Swing Time (1936; George Stevens)
Talk to Her (2002; Pedro Almodóvar)
Taxi Driver (1976; Martin Scorsese)
Umberto D (1952; Vittorio De Sica)
Unforgiven (1992; Clint Eastwood)
White Heat (1949; Raoul Walsh)
Wings of Desire (1988; Wim Wenders)
Yojimbo (1961; Akira Kurosawa)