Chavela's makes delicious authentic Mexican food and its around the corner from my house, so I come here a lot. They make a mean margarita, and you can't beat their happy hour prices. $2 tacos? Yes, please. The decor is bright and lively, and the bar is made of beautiful Mexican tiles.
You've heard about the reading room at the New York Public Library, haven't you? Then I need not go on. Just look at it. And you're allowed to hang around in there!
Coney Island is the best for everything - the beach, the rides, the beer - but mostly for the Skee Ball. It's incredibly addicting, affordable and satisfying (depending on your aim).
The Future Perfect is my favorite place to shop for furniture / interiors, or pick up a small gift for a friend. They have a perfect mix of beautiful and strange objects, some of my favorites include the Animal Butt Magnets, Shrigley Salt & Petter Shakers, and the Bank in the form of a Pig.