For the NYC crowd, there's a spot very much like this in Williamsburg: www.nitehawkcinema.com
Food is quite good, service is impeccable. It's a more intimate affair, only two people per booth - and there's only 30 or so seats per house. They do drink & entree specials themed with the films, which is pretty cool I guess. They helped get state law changed in order to serve cocktails and beer in the actual house.
In-between the featured presentations is curated from local (often quite good) film artists.