Don't bother with the Statue of Liberty, you can no longer go up it and it takes a huge chunk of the day to get on the ferry and go out...it may be good to get shots of the NY skyline, but other then that, I heard its a huge disappointment.
Go into all the little neighbourhoods (Hell's Kitchen, Greenwich Village) and, while its killer on the legs, the walk from Central Park down to Wall Street let's you see a bunch of great things in New York (Columbia University, Washington Park, etc.)
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