Dumbo, which stands for 'Down Under the Manhattan Bridge Overpass,' is a neat neighborhood in Brooklyn that is at an awesome vantage point of Manhattan. There are cool rocks on the shore of Brooklyn Bridge Park that are fun to relax on and sneak alcoholic beverages.
Luhring Augustine did a good job of converting an old warehouse/storage facility into a blue chip commercial art gallery that stages four shows of contemporary art per year. Which means you can catch museum quality shows in an unlikely spot, away from all the Chelsea pomp, and it actually has friendly staff, instead of a cold gallerina sat behind a desk pretending to be on the phone.