Salem isn't terribly far. Lots of places there that claim to be haunted.

Also in the eastern part of the state is the Bridgewater Triangle. But that's not so much haunted as just other weird stuff like bigfoot-like sightings. There are claims of spirits there but it's more "creatures". FWIW, I lived a stones throw from some of that area for a decade and I never saw or heard of anything first or second hand.