The permanent piece called "Meeting" at MoMA PS1 is an etherial experience of light and color and quiet. Sit and look through the cutout in the ceiling and watch the light change both outside and in. You can't tell what you're looking at until maybe a bird flies by.
Chuko has the best vegetarian ramen I've ever had. It's kind of ruined me for other types of Ramen. Favorite neighborhood spot with good people running it.
The naked baby dolls piled up in the front window of SEARCH & DESTROY is a good preview for what you’re in for. If you’re looking for something weird, this East Village shop is a good starting point. In addition to vintage clothing with a seriously punk rock lean, they also sell everything from sex toys to Manic Panic hair dye.