My go to's:
John's Pizzeria- whole pie, thin and burnt, Bleeker Street only
Two Boots- slices. multiple locations (even in LA)

Other NYC favs:(we don't have east coast Chinese food here in LA, so that's one of the things I hit while back east)

Joe's Shanghai- soup dumplings and turnip cakes, Chinatown location only
Mee Noodle Shop- Hells Kitchen/9th ave. old school egg rolls, soups and noodles exactly the same for 70 years or more.
Halal trucks on 6th ave- late night drunk food of the gods.
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I really wanted to go to that Bukake because I thought for sure that you were going to be on the receiving end. - Ryan Knox to Jeff Steward