Ask someone how many ballet companies there are in NYC, and they will usually say 2 - NYCB and ABT. But we actually have 3.
New York Theatre Ballet is mostly aimed at kids, but the dancers are actually pretty decent, and some of their programs appeal to adults as well as kids. Info here:
Do you like cheese? then check out Murray's, in Greenwich Village. You should check them out even if you don't like cheese, they sell all sorts of other goodies like sausages and breads and sweets. They make their own ring-dings which are delicious and nothing like those horrid Hostess ones you ate as a kid. And they give cheese-making classes.