My favorite game I learned in the last year is Orcish Murderball. Imagine, if you will, a field of
combatantsplayers, playing a game that is half melee, half soccer, and half dodgeball rolled into one. People are armed with foam boffer swords and shields, and you score by getting a ball in the goal like in soccer, obviously, but you cannot touch the ball with any part of your body, only your weapons and shield can move it around, and if you can manage it, you can pick up the ball with your weapons to bat it around, or do a volleyball setup with a teammate to send it flying. Any time a ball hits you, for any reason (swatted at you, rolling on the ground, bouncing off the wall or off another player, etc), you go take a 15 second resurrection. Multi-kills are possible if a swatted ball bounces right. Oh, and there are not one, not two, but THREE balls in play. Finally, this being a melee, the opposing team can kill you if you get too close or deep into their side of the field, necessitating a rez. It is a very chaotic, very fast game that requires good situational awareness and reflexes, and loads of communication and ad hoc strategy between maintaining a line and either sending balls at the goal or using them to take out members of the other team.
While there's no chess with swords, there is such a thing as chess boxing.
https://en.wikipedia.org/wiki/Chess_boxing
Human combat chess is a thing.