My high school English curricula included Oedipus, Hamlet, Waiting for Godot, The Crucible, Raisin in the Sun, The Glass Menagerie, and Death of a Salesman. I think if we are approaching this from a "plays as literature" perspective, that's a decent sampling.
But I did go to an arts program, so the plays read in my theatre classes were far more diverse and far too numerous to list here. And, honestly, would probably have been objected to by many parents if they were to find out.
Needless to say, I think it was more effective to approach plays as theatre rather than plays as literature.
"...everyone finally shut up, and the audience could enjoy the beginning of the Anatevka Pogram in peace."