The 30 greatest + 15 most musical movies of the '60s

1) Zazie in the Metro / Zazie dans le métro (Louis Malle, 1960)

2) Rocco and His Brothers / Rocco e i suoi fratelli (Luchino Visconti, 1960)

3) The Exterminating Angel / El angel exterminador (Luis Buñuel, 1962)

4) An Autumn Afternoon / Sanma no aji (Yasujirō Ozu, 1962)

5) Lawrence of Arabia (David Lean, 1962)

6) Dog Star Man (Stan Brakhage, 1962-1964)

7) The House Is Black / Khaneh siah ast (Forough Farrokhzad, 1963)

8) Goodbye, Boys! / До свидания, мальчики (Mikhail Kalik, 1964)

9) The Gospel According to St. Matthew / Il vangelo secondo Matteo (Paolo Pasolini, 1964)

10) Culloden (Peter Watkins, 1964)

11) Shadows of Forgotten Ancestors / Тіні забутих предків (Sergei Parajanov, 1964)

12) Charulata / Cārulatā (Satyajit Ray, 1964)

13) Not Reconciled / Nicht versöhnt oder Es hilft nur Gewalt wo Gewalt herrscht (Jean-Marie Straub, 1965)

14) The Battle of Algiers / La battaglia di Algeri (Gillo Pontecorvo, 1966)

15) Vostochny koridor / Восточный коридор (Valentin Vinogradov, 1966)

16) Daisies / Sedmikrasky (Věra Chytilová, 1966)

17) Tokyo Drifter / Tôkyô nagaremono (Seijun Suzuki, 1966)

18) Playtime / PlayTime (Jacques Tati, 1967)

19) Titicut Follies (Frederick Wiseman, 1967)

20) The Graduate (Mike Nichols, 1967)

21) Mouchette (Robert Bresson, 1967)

22) Theatre of Mr & Mrs Kabal / Théâtre de Monsieur et Madame Kabal (Walerian Borowczyk, 1967)

23) Jaguar (Jean Rouch, 1967)

24) Faces (John Cassavetes, 1968)

25) Fire! / Fuoco! (Gian Vittorio Baldi, 1968)

26) The Swimmer (Frank Perry, Sydney Pollack, 1968)

27) The Hour of the Furnaces / La hora de los hornos: Notas y testimonios sobre el neocolonialismo, la violencia y la liberación (Octavio Getino, Fernando E. Solanas, 1968)

28) Go, Go, Second Time Virgin / Yuke yuke nidome no shojo (Kōji Wakamatsu, 1969)

29) The Night of Counting the Years / The Mummy / Al-mummia (Shadi Abdel Salam, 1969) 

30) Eros + Massacre / Erosu purasu Gyakusatsu (Yoshishige Yoshida, 1969)

The Invention of Sound - Music Films

1) Jazz on a Summer's Day (Bert Stern, George Avakian, 1960)

2) The Connection (Shirley Clarke, 1961)

3) Duo Concertantes (Lawrence Jordan, 1964)

4) The Pink Phink (Friz Freleng, Hawley Pratt, 1964)

5) Kustom Kar Kommandos (Kenneth Anger, 1965)

6) London '66–'67 (Peter Whitehead, released in 1995)

7) Breakaway (Bruce Conner, 1966)

8) The Young Girls of Rochefort / Les demoiselles de Rochefort (Jacques Demy, 1967)

9) Monterey Pop (D. A. Pennebaker, 1967)

10) Yellow Submarine (George Dunning, 1968)

11) The Revolution Is Only a Beginning: Let's Continue Fighting / La Revolution n'est qu'un debut. Continuons le combat (Pierre Clémenti, 1968) 

12) The Chronicle of Anna Magdalena Bach / Chronik der Anna Magdalena Bach (Jean-Marie Straub, Danièle Huillet, 1968) 

13) Ludwig Van (Mauricio Kagel, 1969)

14) Serial Killer / Ryakushô renzoku shasatsuma (Masao Adachi, 1969)

15) Eika Katappa (Werner Schroeter, 1969)

You can find all the lists with comments and links to a lot of great articles here.