AQUARION: Myth of Emotions

Enoshima is a small island floating in the Shōnan Sea. On its beautiful and tranquil beach is Private Enoshima Academy. The school gathers talented children from all over the country and provides them with a gifted education using the latest equipment. Sakko, Rimiya, and Toshi, who have been selected as students in the special reinforcement class "Elements," are ordered to pilot the "Vector Machine," a fighter plane powered by the power of emotion, and are forced to fight against the mysterious invasion weapon "Mythical Beasts." The boys and girls, burdened with their destinies, will come face to face with the truth of the universe as the mysterious organization Space Egg Society and the intentions of adults intersect.

Synopsis from Anime News Network