Clark's Trading Post in New Hampshire has an old school Haunt Swing, but since the park is coaster less, it's overlooked. Been there since the late 80s at minimum, Merlin's Mystical Mansion.
SFNE and SFGAdv both got their Vekoma ones in 1999, Houdini. Dutch Wonderland also has an old style one.... From where outside of the ride you can actually watch the entire building flipping around. Also, Noah's Ark water park in the Dells have one...themed to Noah's voyage. So there are at least 5 versions in some way or another in the US
Edit: after checking the parks website, it seems the ride is now SBNO at Noah's and from Wiki
- Noah's Incredible Adventure (2003) – A high-capacity, dry amusement ride which involved a large "Mystery Swing" and special visual effects to recreate a journey on Noah's famous ark. It was replaced by Curse of the Crypt in the same building in 2009.
- Curse of the Crypt (2009) Closed in 2012. Still standing but does not appear on park maps. (Visitors at the park may recall a sign located near the ride stating 'Closed For Renovations')
So I guess that means 4 in the US, and all in the North East.