Which Variants Have King Capture and Win by Capture of All Other Pieces?

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AnarchoRoyalist

Two premodern winning conditions I've heard of were being able to win by king capture or capture of all pieces beside the king. Related, the king had the right to enter and remain in check (though this would probably have you lose with the king capture win). Are there any popular variants that allow all of these, or similar variants?

I've occasionally thought about combining chess with the DBA mini game, and capture-based victories make chess a bit more like a modern war game. Defeating my enemy by total physical destruction in Total War or EU isn't much more realistic than chess as a battle sim.