My Empire State of Mind [Updated]

I'm coming back, New York!

Me, freezing in Times Square, December 2011

That Lady Liberty, December 2011

The first (and last) time I was there, J and I only had one day to do sightseeing. ONE DAY.  That's definitely not enough to see one of the cities I've always dreamed of visiting one day.  Thank you, J, for letting me tag along on your one-week business trip, so I can continue my adventure!
Here's a list I came up with just now of things I want to do while I am there.  It would be nice if I could do all of them with J, but let's face it, he brings home the bacon, and to be able to do that, he needs to work.  So I will have to get used to going places on my own.  New York is the most exciting place to practice! (And in case I chicken out, I know I have a handful of friends there who are willing to accompany me on some of these goals. :P)
- Walk the Brooklyn Bridge
- Tour the Metropolitan Museum of Art
- Visit the Guggenheim Museum
- Visit the Museum of Natural History
- Check out Rockefeller Center
- Visit Chinatown
- Get on top of Empire State Building
- Spend an afternoon at Central Park
- Catch a Broadway show
- Check out the Grand Central Terminal
- Check out the Sept. 11 Memorial and Museum
- Get a cupcake (or 5) at Magnolia Bakery
- Drink a Manhattan cocktail in Manhattan
- Eat a New York Strip Steak in New York
- Ride the Wonder Wheel at Coney Island
- See the Statue of Liberty on Ellis Island
- Take a walk through the New York Botanical Garden
[Updated]
- Eat an eclair from Boucon
- Have a Junior's Cheesecake
- Have breakfast at Tom's Restaurant

That's what I have so far. Anything else I may have forgotten to include that you think I should do while I am there?  I am still figuring out how to do all these as cheaply as possible, so any help is definitely welcome. :)

This time, I'll get to the top.