The only one of those games I've ever played was Clock Tower II. It fascinated me as a kid because it was my first introduction to a horror video game, and just when I would get bored, something crazy would happen and engage me again.
The next game I would want to check out is Mizzurna Falls since that was actually in the gaming news recently, and it gives me those same kind of Clock Tower vibes, but in an "actual" American setting. (whatever that means)