I always liked Rockefeller Center, Radio Music Hall, Times Square, the Empire State Building, Statue of Liberty, Chinatown, and, haven't been there, but I imagine the new "Ground Zero" memorial would be interesting to visit. Broadway shows and Rockefeller Center might be good ... but a bit pricey.

A tip I was given by a cab driver ... know the street address of where you want to go ... he said a lot of cab drivers "recently got off the boat" and so they'll drive up and down the streets looking for where you want to go (and the meter will be running). If you know the address, they'll usually get there without much waste. He told me after I gave him the name of the Hotel I was staying at. He knew where it was, but, he said many of the drivers might not.