Brooklyn Museum - much much less crowded than the MoMa or the Met - a great building and an interesting mix of paintings, photos, furnitures, from the Ancient Egypt to the 80's. 200 Eastern Parkway, Brooklyn, NY 11238-6099.
Tribeca, Soho, Chinatown, all in one - long - street.
Classic Central Park joggers.
The view.
Wild grass on the High Line (10th Ave & 20th St). A great walk - that makes you pass under the Standard hotel -. Pretty & design. Than, a stop at the Chelsea Market (75 9th Avenue) for the photos, lights and amazing food shops.
Great and cheap breakfast at Broadway Restaurant (Broadway & 101st St). With a greek waiter.
On the ferry to Staten - a round trip with a single foot on the island -
Standard Hotel at night.