I definitely recommend getting some perspective of our city from where you can see it better. You can't really see the forest from the trees, so get out on the water and take a sunset Circle Line tour.
Here's their Website. (Um, for the NYers reading this "...Circling on the Circle Line toot toot!" We are required to sing that.) They can be fun/romantic family whatever, there's all different ones. I def recommend sunset because IT'S GORGEOUS to see the windows all orange from the sunset and then the lights come on all over the city. I would do that rather than the Statue of Liberty. If you only have a week the Statue of Liberty is the waste of a day, what with all the lines. If you really need to see it, take the ferry over to Jersey and go from the Jersey side. There are no lines from there for ferries, still a line at the statue though.
Also, go to Times Square but don't spend
any money there though, it's a waste, a real rip off. Look at my old workplace the Morgan Stanley building with it's famous scrolling tickers, you'll see it if you wait in line for 2 for 1 broadway TKTS there in the center. There is also a downtown TKTS with no line at the South Street Seaport, which is also fun to go to. Here's info:
http://www.nyctourist.com/broadway_tkts.asp. Do your shopping for
everything down in Chinatown. They sell everything on the streets, perfect knock-offs, souvenirs, etc. Then have some Dim Sum somewhere.
Definitely go to the top of the Empire State building. You've just got to. That's a whole other perspective up there too. Also don't miss the super grand stores you don't see elsewhere, like
Bergdorf Goodmans. OMG don't miss that! The top floor has stuff you might possibly consider buying, gourmet foods and other things under $1000 unlike the rest of the store. Going to Bergdorf's is good because that puts you at Central Park - go have lunch at the
The Boathouse, you need to take a cab in, then walk out from there, but make sure you have a park map.
Here's a good site for a map.
As far as Museums go, just think of whatever you like the most. Architecture, photography, weirdness, there's a big museum of anything you want there! You also have to troll around the village at night, East Village especially if you are cool and have Sushi. Absolutely use Time Out New York as your Bible.
Um, how many days do you have??? lol. Feel free to PM me!
~Sue