You've heard about the reading room at the New York Public Library, haven't you? Then I need not go on. Just look at it. And you're allowed to hang around in there!
Seasonal salads, sweet and savory treats, and great coffee. It's probably my most common lunch spot when I work from home and they also offer catering if I'm too nervous to cook but want it to feel homemade.
A new-ish cinema located in the East Broadway section of Chinatown. They play a great selection of rare and vintage titles, plus hosting a considerable amount of director/cast Q&As post showing. People complain about their seats, but they're really not that bad. And yes, they have overpriced fancy snacks, but what theater has cheap snacks?! Go to Mission Chinese, Dimes, or Fat Raddish for dinner—all options around the corner.
Hands down the best wood fire pizza I've had in Brooklyn. Great for a date or if you're feeling fancy schmancy. (Also, don't sleep on the caesar salad here.)