Okay, google sez there's these:
Eastside Billiards & Bar (it looks expensive; i wonder what games they have though; I don't see any in the pictures)
http://www.eastsidebilliards.com/
All new, beautifully renovated and upscale 5k sq ft billiard parlor, full svc top-shelf bar, video arcade. NY's best spot for pool, friends and fun.
163 East 86, New York, NY 10028
Broadway City Arcade (very promising, sounds a little expensive though)
http://www.insiderpages.com/b/3674077340
(212) 997-9797
241 West 42nd Street
New York, NY 10036
Plaza Arcade (looks promising)
27 W 47th Street, New York, NY 10036
(212) 391-0100
Arcade Inc ??? (don't know about this one)
120 E 56th Street, New York, NY 10022