in nys you could have received a permit for any animals you had prior to the ban. after the ban it is possible to get one but not easy and they dont hand them out readily. i cant speak for nyc as they have a separate group of laws just for them and i am not up on their laws. they still have to follow nys laws as well though.
in nys its illegal to own:
any venemous
any rear fanged
burms, retics, anacondas, african rock and 2 other large constrictors that i can t remember off hand.
also certain monitors as well i believe but dont quote: croc monitors black throat and white throat. but not 100% on the white throat.
adam jeffery
when i have more time ill do a search and site references for others