Where do you live? What road city is that near? Bear in mind that the big hits especially the musicals, will tour and will play that road city in pretty much the same incarnation that is playing in New York. Maybe not this season or next, but they'll play there.
These include but are not limited to: Lion King, Beauty/Beast, Producers, Phantom, Wicked, Hairspray, Mamma Mia, and Chicago. All Shook up will eventually tour.
Go see something that will not tour at least in the form that is playing in NY. Think Dirty Rotten Scoundrels (with that star cast), ditto Spamalot with that cast--although both will tour, Light/Piazza if it is still running, Spelling Bee or Avenue Q.
There will also be a raft of new shows playing that we haven't even begun to think about.
In March for a limited number of performances will be a production of the 1956 classic musical The Most Happy Fella at the NY State Theatre at Lincoln Center. The lush score will be played by a full orchestra and the production ought to be good since it is based on the one I saw in 1995 or so. This will not tour and will be a New Yorky kind of thing.
Have fun and welcome to New York.
"If my life weren't funny, it would just be true. And that would be unacceptable."
--Carrie Fisher