Basically what the title says. I’ve only played two games like this so far (Silent Hill 2 and OMORI) and am looking for more.
Could be games, ROM hacks, mods of existing games, etc.
EDIT: So many great suggestions! Getting a bit overwhelmed by how many there are, so I’m going to need to find a way to put this in some kind of list with an order to play the games in. By all means, keep 'em coming, though!
Disco Elysium made me cry after a short conversation with a random man on the street. I haven’t played much of it yet, so I can’t speak to the majority of the content, but what I have played of it evokes more emotion than any game I’ve ever played before.