Well, I was part of the design team for TRANSIT: The Spaceship RPG, a PbtA game of Artifical Intelligences controlling starships and exploring the galaxy and their own existence. Obviously you should buy a copy, but if you want to respond to it for the jam give me a ping and I can send a PDF your way.
I played For The Queen recently, and that struck a chord. A very interesting storytelling experience, with an ending set not-quite in stone.
Oh, and speaking of story games pretty much any of the games in Seven Wonders would be interesting, although I'm partial to Heroes of the Hearth and Before the Storm.