DungeonWorld with dominoes!
Each player draws two tiles from the pile. Whenever a player would roll 2d6 for a move, they instead play a tile face up and draw a new tile to replace it. If the action plays directly to a bond, the player may instead play a random tile from the pile.
Face-up tiles are not recycled to the pile unless the pile is exhausted or both the 1:1 and 6:6 have been played.
This does the change the distribution of odds a bit. There are only 28 tiles to go ’round and results are removed from the pool as play continues. I feel that you will see low results more often and giving the players a little control over when they hit play help offset that.
I also like the idea that you can hang mechanics on it like I did with the random play and bonds.