The best part about New York is that it’s flat, so you can wander a lot. Also, if you’re in the grided areas you can wander as much as you like and not worry about getting lost (as long as you know your numbers).
You can wander to the New York Public Library:

Here they have a genuine copy of Fahrenheit 451 bound in asbestos. I also found a Hawaiian/English dictionary and preceded to copy out a whole bunch of words & phrases. I held back on building a book-fort, though. I didn’t think the librarian would appreciate me doing that.
You can also wander along Central Park:

Maybe it’s a bit bare in winter, but it’s definitely a lot less crowded. Also, in the winter season they have a skating rink!

I debated trying to skate there, but then realized that it had been at least 10 years since I’d last strapped on a pair of skates. I didn’t want to risk injuring myself in New York for a second time. (My Oval encounter happened after this, and it convinced me that I’d made the right decision.)
If you wander in New York you can also see interesting skyscrapers:

It’s just so… geometric.
Wandering along Times Square is also a fun thing to do.


Bonus! If you get hungry, just go to one of their convenient food-stands:

Okay, that picture is technically night, but just let me get away with this. Any time is a good time for hand-held empanadas.