7 Seconds is another band you might like... and The Misfits though not entirely Hardcore, they did have some HC leanings.. a riff here or there type of thing... here's more NY bands or east coast bands you might like:
Warzone
Sick of it All
Six and Violence
Gorilla Biscuits
Youth of Today
Crumbsuckers (love this band)
Leeway
25 ta Life
Beastie Boys (yes the rap group, they were hardcore originally)
Pro-Pain (offshoot of Crumbsuckers)
Sheer Terror
Not a NY band but you might like early D.R.I. before the Crossover album...