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!
To the Moon is both one of a very few games to ever make me cry, and the only game to ever make me ugly cry. I’m talking full-on runny nose, the works. The final 10% of that game is devastating.