My number one suggestion has to be Cloudstreet by Nicholas Enright as you will probably never get the chance to see it performed. It is very long and I saw all 7.5 hours in one day at the Royal National Theatre in London (though it was an Australian production import) and was absolutely riveted! The staging, direction and performances were all flawless and I would have easily sat through the whole thing all over again. I was stunned that Lincoln Center has never picked up this production given the success of the show in Australia, England, Ireland and Switzerland, and the fact that the Beaumont and RNL stages are practically identical.
I also suggest:
The American Plan - Richard Greenberg
I am My Own Wife - Doug Wright
Six Characters in Search of an Author - Luigi Pirandello
A Doll's House - Henrik Ibsen
Hot House - Harold Pinter
Raised in Captivity - Nicky Silver
Baby With the Bathwater - Christopher Durang
All in the Timing - David Ives (complete 14 plays edition)
Sweet Bird of Youth - Tennessee Williams
The Goat, or Who is Sylvia? - Edward Albee
Master Class - Terrence McNally
The House of Blue Leaves - John Guare
"What can you expect from a bunch of seitan worshippers?" - Reginald Tresilian