@Scottie - a really decent collection for horror fans, especially if you enjoyed the Alien sections of Alien Isolation.
The Dark Descent and Justine (which started out as a mod but is still excellent), have an amazing blend of atmosphere, basic resource management, cautious stealth, and interesting - if somewhat weird - stories.
A Machine for Pigs is much closer to The Chinese Room's other narrative games, with resource management removed and a focus on exploration and pure stealth. However, as to be expected from them, the story is fantastic and builds up from a slow, confusing start to an exhilarating conclusion.
For those who have PC's, the original games have all been patched for controller support if that is what has been keeping you away.
EDIT - marketing this game with a bunch of screaming Lets Play YouTuber's was a pretty dismal and tacky-looking choice, but I can imagine PSVR support would make this game even more immersive and terrifying.