Yes, the proofs of ownership needed to register and title a vehicle in New York are different for different types of vehicles for example cars, trailers, boats, snowmobiles, manufactured homes.
How do I register a vehicle that I received as a gift?
You cannot do that over the phone, online, or by mail.  Vehicles received as gifts must be registered at a DMV office.
Does a snowmobile received as a gift need to be registered?