I compiled
a list with all the films that got at least 2 votes from the ciritics and at least two votes from the directors:
Intolerance (D. W. Griffith, 1916)
Greed (Erich von Stroheim, 1924)
The Gold Rush (Charlie Chaplin, 1925)
The Battleship Potemkin (Sergei Eisenstein, 1925)
The General (Clyde Bruckman and Buster Keaton, 1926)
Metropolis (Fritz Lang, 1927)
Napoléon (Abel Gance, 1927)
Sunrise: A Song of Two Humans (F. W. Murnau, 1927)
The Passion of Joan of Arc (Carl Theodor Dreyer, 1928)
Earth (Alexander Dovzhenko, 1930)
L'Age d'Or (Luis Buñuel, 1930)
City Lights (Charlie Chaplin, 1931)
King Kong (Merian C. Cooper and Ernest B. Schoedsack, 1933)
Duck Soup (Leo McCarey, 1933)
L'Atalante (Jean Vigo, 1934)
Modern Times (Charlie Chaplin, 1936)
Grand Illusion (Jean Renoir, 1937)
The Rules of the Game (Jean Renoir, 1939)
The Wizard of Oz (Victor Fleming, 1939)
Gone with the Wind (Victor Fleming, 1939)
His Girl Friday (Howard Hawks, 1940)
Citizen Kane (Orson Welles, 1941)
Casablanca (Michael Curtiz, 1942)
Ivan the Terrible, Part I (Sergei Eisenstein, 1944)
Children of Paradise (Marcel Carné, 1945)
Rome, Open City (Roberto Rossellini, 1945)
Brief Encounter (David Lean, 1945)
Beauty and the Beast (Jean Cocteau, 1946)
My Darling Clementine (John Ford, 1946)
A Matter of Life and Death (Michael Powell and Emeric Pressburger, 1946)
Bicycle Thieves (Vittorio De Sica, 1948)
The Third Man (Carol Reed, 1949)
Sunset Boulevard (Billy Wilder, 1950)
Rashomon (Akira Kurosawa, 1950)
All About Eve (Joseph L. Mankiewicz, 1950)
Los Olvidados (Luis Buñuel, 1950)
Umberto D. (Vittorio De Sica, 1952)
Singin' in the Rain (Stanley Donen and Gene Kelly, 1952)
Ikiru (Akira Kurosawa, 1952)
Ugetsu (Kenji Mizoguchi, 1953)
The Criminal Life of Archibaldo de la Cruz (Luis Buñuel, 1953)
Tokyo Story (Yasujirō Ozu, 1953)
Seven Samurai (Akira Kurosawa, 1954)
On the Waterfront (Elia Kazan, 1954)
Rear Window (Alfred Hitchcock, 1954)
Journey to Italy (Roberto Rossellini, 1954)
Ordet (Carl Theodor Dreyer, 1955)
Floating Clouds (Mikio Naruse, 1955)
The Night of the Hunter (Charles Laughton, 1955)
Pather Panchali (Satyajit Ray, 1955)
The Searchers (John Ford, 1956)
A Man Escaped (Robert Bresson, 1956)
The Seventh Seal (Ingmar Bergman, 1957)
Sweet Smell of Success (Alexander Mackendrick, 1957)
Wild Strawberries (Ingmar Bergman, 1957)
Ivan the Terrible, Part II (Sergei Eisenstein, 1958)
Touch of Evil (Orson Welles, 1958)
Vertigo (Alfred Hitchcock, 1958)
Rio Bravo (Howard Hawks, 1959)
Some Like It Hot (Billy Wilder, 1959)
The 400 Blows (François Truffaut, 1959)
North by Northwest (Alfred Hitchcock, 1959)
Pickpocket (Robert Bresson, 1959)
La Dolce Vita (Federico Fellini, 1960)
Breathless (Jean-Luc Godard, 1960)
L'Avventura (Michelangelo Antonioni, 1960)
The Apartment (Billy Wilder, 1960)
Psycho (Alfred Hitchcock, 1960)
Viridiana (Luis Buñuel, 1961)
Last Year at Marienbad (Alain Resnais, 1961)
Jules and Jim (François Truffaut, 1962)
Eclipse (Michelangelo Antonioni, 1962)
Lawrence of Arabia (David Lean, 1962)
To Kill a Mockingbird (Robert Mulligan, 1962)
8½ (Federico Fellini, 1963)
The Leopard (Luchino Visconti, 1963)
Contempt (Jean-Luc Godard, 1963)
Dr. Strangelove (Stanley Kubrick, 1964)
Chimes at Midnight (Orson Welles, 1965)
Au Hasard Balthazar (Robert Bresson, 1966)
The Battle of Algiers (Gillo Pontecorvo, 1966)
Persona (Ingmar Bergman, 1966)
Andrei Rublev (Andrei Tarkovsky, 1966)
2001: A Space Odyssey (Stanley Kubrick, 1968)
Once Upon a Time in the West (Sergio Leone, 1968)
The Wild Bunch (Sam Peckinpah, 1969)
Satyricon (Federico Fellini, 1969)
The Conformist (Bernando Bertolucci, 1970)
A Clockwork Orange (Stanley Kubrick, 1971)
McCabe & Mrs. Miller (Robert Altman, 1971)
The Godfather (Francis Ford Coppola, 1972)
Amarcord (Federico Fellini, 1973)
Chinatown (Roman Polanski, 1974)
The Godfather Part II (Francis Ford Coppola, 1974)
The Mirror (Andrei Tarkovsky, 1975)
Nashville (Robert Altman, 1975)
Taxi Driver (Martin Scorsese, 1976)
Apocalypse Now (Francis Ford Coppola, 1979)
Raging Bull (Martin Scorsese, 1980)
Blade Runner (Ridley Scott, 1982)
Fanny and Alexander (Ingmar Bergman, 1982)
L'Argent (Robert Bresson, 1983)
The Time to Live and the Time to Die (Hou Hsiao-Hsien, Lao Jia-Hua, Yang Lai-Yin and Xu Xiao-Ming, 1986)
Blue Velvet (David Lynch, 1986)
A City of Sadness (Hou Hsiao-Hsien, 1989)
The Decalogue (Krzysztof Kieślowski, 1989)
Goodfellas (Martin Scorsese, 1990)
Pulp Fiction (Quentin Tarantino, 1994)
I have seen many of them and I will watch all. I think that there is less randomness of films when TWO instead of ONE voted for a certain film in each voter category.