I absolutely adore the Statue of Liberty. I totally think it is worth it to go to the island. She is just stunning. We were able to book to go in the pedestal last Jan. It was freezing though so didn't stay over there as long as I would have liked.
We enjoy going to Chinatown and haggling as well. It seems I am quite good at it.
I also love to get popcorn from Dale and Thomas in Times Square. Yummy stuff.