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
board game
(I should note that "this board game being my kind of thing" means that I've played board games like this before and loved them)