I can see nobody's answered your question so far (I'm guessing there's not all that many Anthony Perkins fans on this board

) so I'll do my best to steer you towards some good movies with Perkins in 'em.
The Tin Star - Nice western in the style of High Noon.
Desire Under The Elms - Based on a play, I believe he co-stars with Sophia Loren in it.
The Trial - Orson Welles film, based on a story by Kafka.
Catch-22 - Based on the famous novel, a decent adaptation starring Perkins, Orson Welles, and in the lead role, the grandpa from Little Miss Sunshine.
Murder on the Orient Express - Based on the famous Agatha Christie novel, probably the best-known adaptation of her work.
The Black Hole - He plays the scientist who's strangled by Maximillian.

Psycho II - Quentin Tarantino actually said he preferred this to the original, lawwwlll. Crazy Tarantino and his drug-induced antics.
Psycho IV: The Beginning - I actually saw this one on TV and it may have been a direct-to-video sequel, but it's pretty cool. Norman Bates talks about his childhood to this lady on the radio (a psychiatrist?) played by CCH Pounder.