Moma is worth a visit, but for a more lively Art experience ánd for free, one should visit Chelsea. A colony of 400 Art Galleries, showing the best in contemporary art. Running straight through is the high line, a 1 mile long linear park, build on a former railroad-spur, worth the walk.

The Brooklyn Museum is a great place to visit for contemporary and historical exhibitions, showcasing a range of international and local artists as well as its socially engaging and creative program it also hosts a party on the first Friday of every month. Its a great place to see performances (like these two cool cats) and mingle with the locals in the neighbourhood as well as art enthusiasts who come from afar to get down together and party in between the Rodin sculptures.

The Arm is a letterpress print shop in Brooklyn, New York focused on printing with hand set wood type, metal type and hand carved blocks.

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. 

My favorite place on Bedford Avenue, this bookstore has both new and used titles. If you're patient and look close enough, you can usually find a book that's worth more than they're asking. Not to mention their stellar selection of magazine titles. Good for design, art, photography, sociology, fiction, and everything in between.