Although forever equated with Norman Bates in "Psycho" and it's sequels, Tony was a more versatile actor than most people think. But no doubt about it, he did play nuts none better.
If you get a chance, see his early (1957) portrayal of the mentally ill real-life major league outfielder Jim Piersall in "Fear Strikes Out" (actually a very good movie, although it misrepresents Jim's problem which was manic-depressive illness, not going nuts during a ballgame). But remember, Tony was an actor, he wasn't Norman. He could play straight drama and comedy as well. He had the role of Chaplain A. T. Tappman in "Catch 22", and played the brief but humorous appearance of the Reverend La Salle in Paul Newman's "The Life and Times of Judge Roy Bean".
But let's face it, folks. Antnony was great as Norman Bates.