Needs no introduction.

The Brooklyn Academy of Music is a performing arts venue in Brooklyn, New York City, known as a center for progressive and avant garde performance. 

An awesome, and sometimes free, ferry that links Manhattan at the Financial District to Ikea in Brooklyn via Red Hook. Very great views of the city and if you end up having to pay it's redeemable for a monetary discount towards an Ikea purchase. I think of it as a treat and an investment.

My second-favorite outdoor-place in Manhattan. The abandoned 1.6 km rail tracks running above Chelsea down to the Meatpacking district were turned into an above-ground park. Perfectly nice place for sitting in the sun, reading, relaxing, having lunch in some green spot in the city. Nice views at the Hudson River, New Jersey, the Statue of Liberty (little small from there but still visible) and the architecture around Chelsea.

The Theatre for a New Audience is a non-profit theater in New York City focused on producing Shakespeare and other classic dramas. Its off-Broadway productions have toured in the U.S. and internationally.