If budgeting isn't a terrible boulder to climb over, why not see them all? If you're lucky, you can student rush many of the Broadway plays (or lotto), and more often than not, the balcony seats are $26.50 (and you can move down at intermission)
CLICK PLAYBILL.COM HERE for a nice break-down of what shows offer what deals
http://www.playbill.com/news/article/82428.html Broadway, I'd recommend: August, 39 Steps, Sunday in the Park with George, The Homecoming, Spring Awakening, Is He Dead?, Cymbeline (anything Lincoln Center and MTC really), A Chorus Line, Spelling Bee, Wicked, Xanadu
Don't get me wrong, I love Broadway, but if you're looking for innovative and out of control awesomeness, do NOT overlook Off-Broadway (I'm glad you asked).
In no particular order, I recommend Altar Boyz, Speech & Debate, Gone Missing, I Love You You're Perfect Now Change, The Fantasticks, No Dice.
Also, you may start becoming a fan of specific theatre companies: For example CSC, Vortex, The Flea, Red Bull, Vineyard, Signature
SAVE THIS PAGE:
http://www.talkinbroadway.com/boards/ It's a break-down of mostly everything On-The-Boards.
Honey, just go. If you find yourself sitting at home wanting to go out, then GO OUT! This city BREEDS theatre. It's like the rats in the subway stations: EVERYWHERE!
Hop on the train with a few bucks and see what you can see!