Nice, I like West Side as well, though it's not my fav. But I LOVE a lot of musicals....Les Miserables, Cats, Rent, Company, Sunday in the Park with George, Hair...lots!
Company is my all time favourite, though. followed by Les Mis (which is also my favourite book)
I'm a HUGE fan of Stephen Sondheim, in general. Man's a genius.
As for non-musicals, Angels in America, The Homecoming, and the Glass Menagerie are plays I like a lot.