Probably not unique to New York City, but I was playing a bunch of black dudes once and my jumper was particularly wet that game. After hitting a bunch of them in quick succession, one of them went, "He got da ratchet." Again, perhaps not unique to my city, but "the ratchet" was something I'd never heard of before.
Basketball in my country is called kosárlabda or kosár for short. A player that is wet is being called vajkezű. A nice, clean block is sapi or sapesz, while the board is pattanó and the ref is often referred to as spori.
Not really baskeall game terms but more like names of mini games(horse, around the world). I lived in Cali, New Mexico, Texas and Colorado and the biggest difference is knock out(person befind you makes it, your out). Growing up in So Cal, we called it "lightning". Everywhere else, it was Knockout.