If there can be 300 tennis video games, there can certainly be at least one badminton video game. Badminton is a cross between volleyball and tennis, where the player/team uses a racquet to hit the shuttlecock across a net. If a player/team hits the shuttlecock out of bounds, into the net, or is unable to return it, the other side scores a point.
Shuttlecocks and racquets may not sound athletic, but the sport requires stamina, agility, speed, and precision if you're among the best of the best. Those requirements are the same to be among the world's best gamers, so badminton is a fitting game for the sports genre.