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!
The Vanishing of Ethan Carter! I’m not going to say anything, except that you need to do all the “side” quests. If you miss any, the map at the end will show which you missed. See the ending!
Dear Esther is also quite special, the monologues change every playthrough and everyone interprets the game differently. Very impactful.
I didn’t know the voice over changes every play though with Dear Esther.
Even the items that lie around change every time you play.