Hey, Xage!
If you haven't already, check out Acting Lessons. It's an adult VN, but one where a lot of your choices influence how the story plays out. It's actually an adult VN that has consequences for you sleeping around, and has a fairly dark ending. The story, at least for me, was also very emotional. I did play Being A DIK, but felt it gave the player much less agency than Acting Lessons; I also simply didn't like the boring college plot or its characters.
There's also another interesting VN that focuses on story more than sex, Oath of Loyalty. It's a mafia style VN which also gives you a fair number of choices. The consequences of said choices aren't as big as in Acting Lessons, but they still do have an impact on how others treat you in the story. You can also choose who to pursue romantically similar to this game, so that's a huge plus for me. If you don't want to go for anyone, you don't have to.
That's really about it, unfortunately. Almost every other VN in this art style I've played only gives you the illusion of choice, and will often force you into situations you might not want to be a part of.