Caffe Reggio - cool place more for coffee but they have some food too.
Polonia- polish reastaurant. Very good staff and smart prices.
Veselka - in East Village.
That's my 3 fevorite places :)
These are both delicious and cheap ($10 - 15 per dish)
West Ville East on the corner of Ave A and 11th St. (Deliciously fresh market sides and new american cuisine)
Whitmans on 9th St, between ave A and 1st Ave. (best burgers)
there are a bunch of cheap restaurants on 6th street. on first avenue, between 5th and 6th, there are two restaurants that share one staircase. i like the one on the left. sorry, i don't know the name.
there are also many thai restaurants and are all around the same price: Spice, Cafetasia, Republic...
i like 7A since it's open 24 hours.
Ippudo for ramen, but there tends to be a long wait.