Angelo's Pizza (also great salads) on 57th bet. 6th & 7th. There's a Pain Quotidian on 58th & 7th, and Petrossian is across the St. ($25. prix fixe lunch) or the little Petrossian Cafe & Bakery just 1/2 a block south for a lighter meal; Molyvos another $25 prix fixe on 7th @ 55th. I'm not sure how much lunch you want - or just served instead of take-out.
871 7th Avenue, New York, NY 10019
117 W 57th St, New York, NY 10019
182 W 58th St, New York, NY 10019