I love what they're calling here "zero-player" games. They're automatons that you can build other games on top of (often in combination with other automatons) or, like this, they are games where players can simply identify themselves with one of the game's components. The latter are excellent for groups of drunk people.
Spectator sports are basically zero-player games.
Another classic is "LCR" (Left Center Right), and one that was popular a few years back is "Yahtzee Turbo."
The classic I remember from childhood is the card game "War". Assuming neither player cheats or makes a mistake, the outcome is totally predetermined.