I would certainly go see a Broadway show. Tickets are cheap now. You can either go to Tickets, Tickets, Tickets, in the middle of Times Square OR if there is a specific show you would like to see you can go straight to their box office and see what they have. They are all wonderful and it s certainly something to see. Good luck!
How about the John Lennon memoria in Central Park called Strawberry Fields at the W. 72nd St. entrance? How about a ride on the famous Staten Island ferry?
Visit The Bronx
Bus tours are fun. Try one of these buses..http://www.newyorksightseeing.com/http://www.citysightsny.com/