Ooh, what about Baron Munchausen?

I guess it’s probably not a roleplaying game, and therefore can’t be a storygame by this definition, except that the game encourages (requires?) you to invent a fictional character who you portray by telling stories in-character about your adventures. There’s no real scene economy or structure, but the other players use their game resources to escalate the illusion of drama.

Hm. No. I have failed to convince even myself.