I was born in 1957. When my parents went to the movies they almost always took me. Of course, none of the films were aimed at little kids. Regardless, many of the ideas made very vivid lasting impressions on my young mind. I still remember them with that little boy's worldview, which makes them all the more compelling. Some I've re-seen as an adult, but the original imprints remain.
These I can recall off the top of my head. Not every movie I remember by any means, but the ones that still matter:
Lord Jim
The Subject Was Roses
Mutiny on the Bounty
The Quiller Memorandum
A Man for All Seasons
Taras Bulba
Sabrina
Pillow Talk
Dr. Zhivago
Fistful of Dollars
Shenandoah
Spy Who Came in from the Cold
The Sandpiper
Dr. Strangelove
Fail Safe
Zorba the Greek
Lilies of the Field
Lawrence of Arabia
To Kill a Mockingbird
The Miracle Worker
Breakfast at Tiffany's
The Train
The Sand Pebbles
Alfie
Fahrenheit 451
A Man and a Woman
"There's no hiding in my memory/ each thought and gesture are caught in celluloid"
The Subject Was Roses
Mutiny on the Bounty
The Quiller Memorandum
A Man for All Seasons
Taras Bulba
Sabrina
Pillow Talk
Dr. Zhivago
Fistful of Dollars
Shenandoah
Spy Who Came in from the Cold
The Sandpiper
Dr. Strangelove
Fail Safe
Zorba the Greek
Lilies of the Field
Lawrence of Arabia
To Kill a Mockingbird
The Miracle Worker
Breakfast at Tiffany's
The Train
The Sand Pebbles
Alfie
Fahrenheit 451
A Man and a Woman
"There's no hiding in my memory/ each thought and gesture are caught in celluloid"
The Carpet Crawlers, Genesis, 1974.