Do u have a fave movie from the 60s?

There are a lot from the 60´s.
Even so, my fav one is from 1974.
"C'eravamo tanto amati" (We All Loved Each Other So Much)- Ettore Scola.

Back to your specific question, I would list:

"Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb" - Kubrik.

"Midnight Cowboy" - John Schlesinger

"Blowup" - Michelangelo Antonioni


And others...

Maybe Barbarella

Shot in the Dark

Wanderers

007 James Bond in Goldfinger with villain Oddjob and the lethal hat!

Yes. To kill a mockingbird.