Depending on how long you're going to be in town, and how important it is to have pre-planned your theater experiences, you can also wait until you're here and visit the box offices. There are only a few shows that are "impossible" to get tickets to. If you're willing to flexible, you might find your best options will come from a combination of the MANY - and I mean many - options available for variable priced seats.
Gentle's Guide to Love and Murder is always on TKTS.
What I'd do is take a look at the box office grosses on this web site. You'll immediately see how the various shows are selling. Depending on your budget and what you want to see, you may be able to do quite well waiting.
For those shows that are "must sees", the suggestion above regarding the show's individual web sites is a good one.
ARTc3 formerly ARTc. Actually been a poster since 2004. My name isn't Art. Drop the "3" and say the signature and you'll understand.