Of all the many museums in New York, this one is the most striking to me because of the unique experience you have while viewing the art. This Frank Lloyd Wright building integrates art with architecture in a way that makes it unique to this city. No matter where you are standing you get an incredible, extremely thought out detail of his work and the exhibited work.
One of my lunch favorites - start with the crab toast lemon aioli, then roast carrot avocado salad, Kasha and Bowtie pasta with Meatballs - and their homemade sodas and green juice are awesome!
If you're far up in Greenpoint and need caffeine + snack, Bakeri is my spot (I say "bake-ery", others say "bach-ery"—I still vote the former). Known for their baked goods—both savory and sweet—it's the perfect spot for a coffee meeting, small breakfast, or a solo book read. There's one large communal table in the center, plus a few two-tops and decent counter space—one of the rare cafes with enough room that it's rarely packed (except saturday!).