I have been getting burgers here since I first moved to NYC. I think it is 1000 years old or something like that. Only two types of burgers, with or without bacon. I like easy decisions and this place is full of them. There is usually a line to be seated, but it always seems to go fast with $2.50 mugs of McSorley's. It's also at this strange vortex in the west village where 4th street and 12th street cross. Maybe that's why the line never takes too long and everything is so cheap.
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!).
Manhattan's Chinatown is my second favorite neighborhood next to Fort Greene. It's full of people, odors, bars, clubs, cafes, and restaurants. There's always something going on here.
Webster Hall is a solid venue, and a frequent stop for many great bands on their rise to glory. If you've only got a few nights in the city, chances are a great act will be playing here.