Myriad Colors Phantom World(2016)

The story takes place in four islands in the south of Japan. In a world different from today's Japan. With the discovery of anti-gravity materials, anti-gravity shoes were invented that allow people to fly. These shoes brought humans into a world where they can fly without the need for feathers or motors and only using their own body power. A sport was created based on this, which is called "flying circus". Due to a bad defeat, the veteran of this sport, who hoped to have a future in it, left it. But he meets Asuka Kurashina, who is a transfer student, and during flight training, he returns to his interest in this sport and participates in competitions again.