I found a board game that's exactly my kind of thing – it's a game where parts of it are made as you play.

It's called Deep Future, and as far as I know the only place to download the rules is from the Board Game Geek page: https://boardgamegeek.com/boardgame/194986/deep-future

My only problem with it: like a lot of board games, the rules always use "he" instead of gender neutral language. I think I'll re-write them in a gender neutral way, but first I want to try it out and see if I like it enough to do that