Don't limit your art experiences to just Manhattan. There's plenty of new and innovating exhibits to see in Queens, too. Not only will you have a great view of the New York City skyline from the Socrates Sculpture Park in Astoria, but you'll get to view one or more truly offbeat exhibits. Each exhibit runs for a few months and both past and upcoming installations are listed on their official website. If you are looking for a more traditional museum experience, The Noguchi Museum is just one block away from the park.
The park is open everyday from 10am until sunset and admission is free and during the summer months (May-September) on weekends, there's a free LIC ART BUS that serves as a shuttle with stops at The Noguchi Museum, SculptureCenter, MoMA PS1 and of course, the Socrates Sculpture Park.