Ao no Kanata no Four Rhythm
In a world where flying is as simple as riding a bicycle, there is a popular sport called "Flying Circus" (dogfight race). The protagonist who once hoped for a future in this sport suffered a setback due to an overwhelming defeat, and withdrew from the sport for this and some other reason. However, he met the transfer student Asuka Kurashina, and in teaching her to fly the skies, the old passion returned. He takes part in the Flying Circus again.