Shidenkai no Maki

The manga is set in a world where high school students commute to school in aircraft, and schools have turf wars over each others' airspace. A girl named Maki Hagoromo meets a talking plane, a Kawanishi N1K-J Shidenkai, and she takes to the skies.

(Source: Anime News Network)

*Note: Chapter count includes 2 extras.*