Gonte
Gonte is a go variant. All of the normal rules of go apply, but at one point during the game, the weaker player can switch to playing white, after which the game continues.
This could be good as a form of handicap game, since the stronger play will be forced to play so that their lead is never too great. It would be good practice for the weaker player in deciding when it is a good time to switch to playing white.