New York... any ideas?

I'm going to New York in February with my boyfriend, which is obviously very exciting. It's the first time for both of us, so we're busy trying to decide where we want to go and what we want to see while we're out there. We'll be there for 5 days, and will be staying in Times Square. I've come up with a list of what I'd like to see, but I'd appreciate further suggestions from people who have been before or who know a bit about the city. I was going to add photos from Google for each list item then got paranoid about copyright (some might say I'm a Paranoid Android), so I'll just write another blog post when I come back with my own photos. Problem solved.

1. Empire State Building

2. Rockefeller Center

3. Staten Island Ferry

4. Central Park

5. Giant Disney store in Times Square

6. American Museum of Natural History

7. National September 11 Memorial and Museum

8. See a musical on Broadway (spending money permitting...)

9. Museum of the City of New York

10. Brooklyn Bridge


This is my top ten list so far! Pretty sure I'll keep adding to it over the next few weeks. I know these are all standard tourist attractions which everyone goes to (apart from the Disney store...), so if anyone has any recommendations for less 'popular' attractions, which should also be cheaper, that would be splendiferous.

The Big Apple, here we come!