1960
alphabetically
The Apartment (Billy Wilder)
L'Avventura (Michelangelo Antonioni)
Bells Are Ringing (Vincente Minnelli)
Breathless (Jean Luc Godard)
BUtterfield 8 (Daniel Mann)
La Dolce Vita (Federico Fellini)
Elmer Gantry (Richard Brooks)
Psycho (Alfred Hitchcock)
Rocco and His Brothers (Luchino Visconti)
Where the Boys Are (Henry Levin)

Honorable Mention: none. need to see more 

1961
alphabetically
Breakfast at Tiffany's (Blake Edwards)
The Childrens Hour (William Wyler)
Judgment at Nuremberg (Stanley Kramer)
The Misfits (John Huston)
One Hundred and One Dalmatians (multiple)
The Parent Trap (David Swift)
Splendor in the Grass (Elia Kazan)
West Side Story (Robert Wise)
Yojimbo (Akira Kurosawa)

Honorable Mention: none

1962
alphabetically
Carnival of Souls (Herk Harvey)
Dr No (Terence Young)
Gypsy (Mervyn LeRoy)
Jules et Jim (François Truffaut)
Lawrence of Arabia (David Lean)
The Manchurian Candidate (John Frankenheimer)
The Music Man (Morton DaCosta)
Sweet Bird of Youth (Richard Brooks)
That Touch of Mink (Delbert Mann)
To Kill a Mockingbird (Robert Mulligan)
Whatever Happened to Baby Jane (Robert Aldrich)

Honorable Mention: None. need to see more

1963
alphabetically

Bay of Angels (Jacques Demy)
The Birds (Alfred Hitchcock)
Federico Fellni's 8½ (Federico Fellini)
The Haunting (Robert Wise)
Hud (Martin Ritt)
I Could Go On Singing (Ronald Neame)
Lilies of the Field (Ralph Nelson)
Love With the Proper Stranger(Robert Mulligan)
The Pink Panther (Blake Edwards)
Yesterday, Today and Tomorrow (Vittorio de Sica) 

Honorable Mention: Charade (Stanley Donen), Tom Jones (Tony Richardson), The Sword in the Stone (Wolfgang Reitherman)

1964
alphabetical
Dr Strangelove: Or How I Learned To Stop Worrying... (Stanley Kubrick)
Goldfinger (Guy Hamilton)
Hush Hush Sweet Charlotte (Robert Aldrich)
Marnie (Alfred Hitchcock)
Mary Poppins (Robert Stevenson)
My Fair Lady (George Cukor)
The Night of the Iguana (John Huston)
Seance on a Wet Afternoon (Bryan Forbes)
Strait-Jacket (William Castle)
The Umbrellas of Cherbourg (Jacques Demy)

Honorable Mention: The Unsinkable Molly Brown (Charles Walters)

1965
alphabetical
Cat Ballou (Elliot Silverstein)
Darling (John Schlesinger)
Doctor Zhivago (David Lean)
The Great Race (Blake Edwards)
The Greatest Story Ever Told (George Stevens)
Juliet of the Spirits (Federico Fellini)
Repulsion (Roman Polanski)
The Sound of Music (Robert Wise)
That Darn Cat (Robert Stevenson)
Thunderball (Terence Young)

Honorable Mention: none. I need to see more 1965 pictures because I don't even like all of theses

1966
alphabetical
Blow-Up (Michelangelo Antonioni)
Fantastic Voyage (Richard Fleischer)
Persona (Ingmar Bergman)
This Property is Condemned (Sydney Pollack)
Who's Afraid of Virginia Woolf? (Mike Nichols) 

1967
alphabetical
Belle de Jour (Luis Buñuel)
Bonnie & Clyde (Arthur Penn)
Camelot (Joshua Logan) 
The Graduate (Mike Nichols) 
How to Succeed in Business Without Really Trying (David Swift)
The Jungle Book (Wolfgang Reitherman)
Playtime (Jacques Tati)
Taming of the Shrew (Franco Zeffirelli)
Thoroughly Modern Millie (George Roy Hill)
Wait Until Dark (Terence Young)

Honorable Mentions: none. need to see more films

1968
alphabetically
2001: A Space Odyssey (Stanley Kubrick) 
Chitty Chitty Bang Bang (Ken Hughes)
Faces (John Cassavettes)
Funny Girl (William Wyler),
Oliver! (Carol Reed)
Planet of the Apes (Franklin Schaffner)
Rachel Rachel (Paul Newman)
Romeo and Juliet (Franco Zeffirelli)
Rosemary's Baby (Roman Polanski)
Theorem (Pier Paolo Pasolini) 

Honorable Mention: Barbarella (Roger Vadim), Night of the Living Dead (George Romero)

1969
alphabetically
Bob & Carol & Ted & Alice (Paul Mazursky) 
Butch Cassidy and the Sundance Kid (George Roy Hill)
Midnight Cowboy (John Schlesinger)
On Her Majesty's Secret Service (Peter Hunt)
Pippi Longstocking (Olle Hellbom)
The Prime of Miss Jean Brodie (Ronald Neame)
Satyricon (Federico Fellini)
The Shoot Horses, Don't They (Sydney Pollack)
Sweet Charity (Bob Fosse)
Women in Love (Ken Russell) 

Honorable Mention: none. need to see more.