There are so many great movies, many of which never got a mention at the Oscars. I'll give you my favorites according to genre:-
Musical - My Fair Lady
Suspense - Wait Until Dark
Drama - Grapes of Wrath
Fantasy - Harry Potter and the Sorcerer's Stone/ET
Action - Indiana Jones and the Temple of Doom.
Romance - Roman Holiday.
Comedy - The World of Henry Orient.
Sci-Fi - Blade Runner.
There you have it. I don't watch Horror movies because I'm a scaredy cat.
You'll notice that three of my favorites star Audrey Hepburn, the most beautiful, talented, gracious actress of all time.