You will be walked ragged! Lots of places to check out on foot which should include: Brooklyn Bridge to Brooklyn Heights and Dumbo (you can also tack on the dip down to Wall Street, Ground Zero, Battery Park), the HighLine down to Meatpacking District and Tribeca, east to the United Nations, upper east side to the museums and Madison Avenue. Look up other questions for NYC as there are similar questions asked in this vein with some great answers thee too. about 7 years ago
I also recommend the Highline. If you've never been before, stop by Times Square. If you want to see a show, the tkts booth (there's one in Time Square) is the best way to purchase tickets (bring cash, thats all they accept). Tickets are up to 50% off. The Guggenheim is a great museum for its Architecture as well. Have fun! about 7 years ago
MOMA and the Met are two more excellent museums to check out. Don't be afraid to use the subway. It will save you quite a bit of walking. Get a Metro Card and a map and you're all set.
Go downtown to see the WTC site and other landmarks. Catch ferry over to the Statue of Liberty and Ellis Island. For some quiet time, walk through Central Park to or from the Met or the Guggenheim. Also check out the Cloisters.
Empire State building and NY Public Library. Great architecture.
You are right near the Theatre District if you want to see a show. about 7 years ago