Playing it doesn't appeal too much, though maybe you weren't suggesting that it would. Big problem is that sometimes there's only one move and everything else just loses, while in many quiet positions there are several playable moves with not much to choose between them.
A kind of silly but fun game that had a vogue about 50 years ago and has almost disappeared as far as I know is Vegas Fun Chess, utilizing two dice that determine which piece or pieces you can move, with two exceptions, one if you're in check, the other if your last move gave check. The latter exception allows you to carry out forced checkmates. In those cases you don't roll the dice. When you roll the dice if neither shows a piece you can legally move you lose your turn. You can play it with two ordinary dice of different colors, to allow for a slight difference in which pieces are on each die. In the good old days they made special dice with chess pieces engraved on the sides. These usually came in a plastic hemisphere attached to a spring attached to a suction cup which attached to the table so you could shake the dice by pulling back the spring and letting go. Here's a link to the rules.
https://www.chessvariants.com/dice.d...sfunchess.html