Before his death from lung cancer at age 42 in 1978, John Cazale acted in five motion pictures, each of which was nominated for the Academy Award for Best Picture.  How many can you name?

John Cazale
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Thank you for this. I'd never heard of him, but I read the entire wikipedia entry and I am sad now, in a good way.
hmm, Godfather I & II, Dog Day Afternoon, The Deer Hunter, and....
Very good! The remaining film from 1974 was perhaps given a sequel in “Enemy of the State” (1998)