THE GALACTIC FOOTBALL LEAGUE SERIES: Set in a lethal pro football league 700 years in the future, this galaxy-spanning story combines the intense gridiron action of Any Given Sunday with the space-opera style of Star Wars and the criminal underworld of The Godfather. Aliens and humans alike play positions based on physiology, creating receivers that jump 25 feet into the air, linemen that bench-press 1,200 pounds, and linebackers that literally want to eat you. Organized crime runs every franchise, games are fixed and rival players are assassinated.
http://scottsigler.com/gfl
This sounds like a cross between “Rollerball” and the short fiction story “The Mickey Mouse Olympics”.