While out visiting the galleries in DUMBO, a friend and I wandered out to Brooklyn Bridge Park to get a view of the Manhattan and Brooklyn Bridges and the east side of Manhattan's skyline.
You can see the skyline on the east side isn't much (I think that is either the East Village, Lower East Side or Murray Hill that you can see across the water), but the blue Manhattan Bridge is impressive enough.
This is one of my favorite places in the city, and it is one of the most active. On Thursday's they have movies on the lawn by the Brooklyn Bridge and on Tuesdays they have yoga. Then just a few blocks away is the famous pizza place Grimaldi's, where there is always a line outside waiting!