Strand is a castle of books. It claims 2.5 million new and used books, across 18 miles of shelves, cared for by 200 employees—so set aside a couple of hours. Plenty of art books and good prices. Get your healthy huff of that old book smell.
The Frank Stella's are the best. They are all over the city and they always look amazing. Two of my favorites are the Saatchi and Saatchi lobby (pictured) and the Citi Corp building in Midtown.
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.