@Xkeeper A game styled like a Game Boy game, where after a certain amount of gameplay, the batteries run dry. After replacing them, your progress is lost, and you have to start over from the beginning.
Maybe make it a race against time, trying to finish before running out of power; or maybe make things change subtly in each successive "playthrough," based on your previous progress; or maybe write things from the game character's point of view, where they live in a constant state of déjà vu.
@Raspberryfloof There was a race like that for Z1 randomizer a while ago; a "groundhog day" where after 1 hour you were required to reset and restart, and the goal was to finish the game