New Englander here.
What in the world is a "New England accent?"
Do you mean Boston? New Hampshire? Wood Chuck? Whatever the hell is going on in Maine? (I didn't know anybody lived there to have an accent.)
Yeah, Connecticut and Massachusetts do not share the same accent. Western Massachusetts is specifically wild. Go fuck yourself, Cuffy is a pretty great example. Connecticut doesn't really have an accent as far as I can tell. It's just the generic white people accent. Which is basically the same as NY. And no, the New York accent is not "I'm drinkin' waaahtaaa ovaaah heeeea". Maybe some very specific Italian neighborhoods in Brooklyn, but that's about it.