my advice for what it is worth is to definatley work out what out a wish list for your free time. also wet and dry day weather options. I am not a great shopper so shopping didnt really interest me. Try typing in top 10 things to see in New York into google and see what comes up. Things I have done and enjoyed.
Seeing a show, there are ticket booths where you can get cheaper tickets on the day thats what I did.
Helicopter flight over New York views are amazing you see so much and your sitting down bonus!
Theres a revolving Restraunt which I went to food really good and amazing views well worth doing!
Horse buggy ride in Central Park, you see so much and your sitting down again, I then got some snack food and went back into Central Park and watched the world go by
9/11 Museum a must for me sombre but a museum done very well, theres a few short films to watch as well, only a coffee shop at the top, you can leave bags and coats in a cloack room, think its a donation
Statue of Liberty and Ellis Island well worth doing you get some great photos, and also learn about the US history.
I did two museums close by the hotel, one has visiting exhibitions when I went it was all about the Native Indians I also went to the Jewish Museum which houses a great holocaust exhibition something thats close to my heart.
There really is so much to do and see. you need to plan what is where, as you wont have the time to keep going backwards and forwards, so plan your time well and you will see so much. I was totally fine on my own some things I did buddy up with others. We just made sure those staying on, we all had each others room numbers, and would leave messages on phones to say we were back and available to meet for evening food.