Has no sign outside, so you might miss it, but if you do happen to find it, you will feel like you have walked into the 1920's. Its very chic, with Black and white marble decor, candle light and ambience to go with a great list of cocktails and whiskeys etc.
Coney Island is the best for everything - the beach, the rides, the beer - but mostly for the Skee Ball. It's incredibly addicting, affordable and satisfying (depending on your aim).
Dia:Beacon is a short train ride from the city in a former Nabisco box printing factory. This art foundation has 240,000 square feet of art from the 1960s to the present. Dia features the work of Sol LeWitt, Imi Knoebel, Andy Warhol, Dan Flavin, Agnes Martin, On Kawara, Bruce Nauman, and many others. I love going during the summer to enjoy the gardens surronding the building.