I can't believe none of you have brought up the Fatal Frame series yet!
Seriously, I couldn't finish those games. Part of it had to do with the main enemies of the games (ghosts) being outright cheaters - you can only kill them by taking a snapshot with a freaky old camera. The big deal? Unlike their D&D counterparts, they DO act like ghosts. Meaning they're completely silent as they move, they randomly disappear, they come in through the walls and ceiling, and you only hear them grunt and moan when they're right on top of you. There's no auto-aim and the transition between third-person and first-person modes isn't entirely seamless. To top it all off, the series is often filled with long, narrow corridors that make their tactics even MORE effective.
In other words, RE-style tactics do not apply.
The camera while walking around plays like RE1 and its successors up till 3 - which means fixed, creepy angles where you can't be entirely sure where things are.
And then of course there's the backstory. I only played through a good part of 3, which was basically a young woman with survivor's syndrome looking through a creepy house for her deceased fiance in her dreams - and finding out that the deeper she went into the house, the sleepier she gets, until she completely disappears.