Mekelburg's is equal parts hipster bodega, bar and sandwich haven. I always go for the cheese counter, the babka and the late night fried chicken sandwich, which is hands down one of the best I've had in NY. 

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.

For oysters & libations. The comprehensive oyster menu changes depending on what they can get that's fresh. If you know anything about oysters or just plain like them, this is without question the spot. Currently my favorite oyster (not always on their menu) is the Skookum.

Leaf through over 30,000 artists' sketchbooks in what may be the world's largest collection.

I'm a huge Japanophile: if there's one other place I'd like to live, it's Tokyo. I must have been there seven or eight times, most recently just after the Tohoku earthquake and tsunami. Anyway, EN is a gem on Hudson Street, serving real Japanese cuisine. It turns out that EN is a chain in Japan; there are a lot of branches making lovely bosky food in cosy neighbourhood locations. But their New York incarnation is grand in scale and ambition, with solid, warm interiors (not unlike if the Whitney were a Japanese restaurant, oddly) - a remarkable hybrid of this city, and the other one that I'd love to live in.