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.
My favorite Chinese food spot. The best Peking duck! Ignore the C health code rating in the window, they must have made a mistake ;) Also, It's BYOB with no uncorking fee, go crazy.
The best part of the new Whitney Museum is the view in all directions from the terrace - and also from the staircase facing West. I'm afraid it upstages the Art.