I also like explosion mechanics, like your for example you could say that any one piece can keep moving (or move up to N times) as long as it keeps capturing. Similar to exploding dice, where after rolling 6 on a d6 you can roll again and add to your total, rerolling as long as you roll 6 again.
Another one that could be interesting is a motivational or morale advantage, where let's say that if you capture an opponent's piece, another one of your pieces gets a free move (due to high morale on your side).
I'll also confess that I enjoy turning chess into a dice-based war game at times :-)
Nice idea for a post.
https://en.wikipedia.org/wiki/Fischer_random_chess
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I've thought about a variant of chess where people get the two sides of the board randomized differently.
Also this
The latter contains a chess engine which works for generic positions that don't arise is normal chess.