From an action movie standpoint I have to say Goldfinger (James Bond) is my favorite movie. It still holds up 50 years later. None of the gadgets are crazy (except Oddjob's hat), the villain had an extremely reasonable and achievable goal, and Bond doesn't even actually diffuse the final bomb himself.
From a drama standpoint definitely The Shawshank Redemption is my favorite movie.
It's impossible to pick just one of course (cliche alert...) but the first time I saw Spirited Away really stuck out to me. I remember it being nothing like any other animated film I'd ever seen, so magical.