Another person that went there literally this week last year - I got on the flight Friday after thanks giving and returned on the Wednesday.
I had a pretty hectic schedule but here is what we did:
- Shopping - thanks giving sales....you will have NY sales
- Outlet visit - all day trip, can take the bus and worth a visit
- Empire State Building
- Broadway Show - we went to watch Chicago...pretty decent seats brought the day before with plenty still available even over thanks giving.
- Statue of Liberty - including crown access (don't do crown if you don't like tight
spaces, it gets a bit tight near the top, but it's pretty safe - Also a LOAD of security getting there)
- Rockefeller, I went up when they did the Christmas tree lighting, no queues

I did both the Rockefeller and Empire State. I couldn't chose which one, Rockefeller you see the Empire State Building but Empire State is Empire State
- Little Italy / China Town / all the other avenues with shops etc
- Central Park
- American History Museum...can do free entry but a recommended donation is $15 each I think, maybe slightly more (I paid)
- Huge IMAX near 55th Street, biggest in NY - We had some spare time so we watched a film, Harry Potter - Death Hallows Part 2 I believe.
- Obviously Times Square, my hotel wasn't too far away from here so it wasn't a problem. I can't believe how busy that place was 24/7.
Some other stuff we didn't do but people mention:
- Bronx
- Art Museum (not my thing)
- NFL / Ice Hockey / Baseketball Game (No time)
Hope it has given you some ideas.