NYC has a wealth of datacenters and service providers I suggest you use the search feature as crnc suggested - that'll provide you with the most comprehensive list.
Also, you may want to be more specific when asking for DCs if you're looking for the "NYC" area or just NY State. NY state is quite a large state - there are providers in upstate New York, out on Long Island, and in the City itself!
Originally posted by Netivex DedicatedNow is in New Jersey as is Interserver (I believe). Equinix is carrier neutral and does not provide servers.
If you're looking for NYC servers, you should also look at providers located nearby in NJ (Jersey City & Secaucus areas, mainly). Interserver and DedicatedNow are only a few milliseconds away from the NY peering points, so you won't notice any difference (besides a cheaper price). CRNC offers space in NYC and NJ, but I'm not sure if their NJ offerings are any cheaper or better quality. There's also Ezzi.net on Long Island, and NAC.net in Parsippany/Cedar Knolls (new servers are being put in their new Cedar Knolls facility I believe).