Cross Ange: Rondo of Angels and Dragons.

Humanity has advanced to great heights since it obtained the information technology known as "Mana." With that nearly magical power, problems like war, food shortages, and pollution have been eliminated. In this age of peace and freedom, First Princess Angelise Ikaruga Misurugi of the Misurugi Empire is a privileged girl with no disabilities. She learns, however, that she is a "Norma," a kind of human who cannot use Mana and are outcasts of society. Having lost everything, she is sent to an isolated island. There she meets other Normas who ride in humanoid weapons called Para-mails, protecting the world from dragon invaders from another dimension.