Cross Ange: Tenshi to Ryuu no Rondo [TV]

Due to humanity obtaining the data technology that has evolved to a great amount—called "Mana"—the human race is able to subjugate all wars, starvation, pollution, and other problems on Earth by using its power, which is similar to magic. Earth has obtained the utopia of complete peace and no wants.

First princess of the Misurugi Empire, Angelize. As with everyone else, she also had no wants or worries. She was celebrated by the people of the empire, and was supposed to wear the crown. However, she realizes the shocking truth that she is a Norma. “Norma”: An irregular existence that cannot use Mana, and are treated as heretics and as “things” rather than people. Having everything stolen from her, she was thrown away on a remote island where she endured living a life in hell .

What was waiting for her there was a fateful meeting with a group of Norma girls who know nothing but battle. The girls spend their days riding humanoid robot weapons called “Paramails” hunting giant dragons that have come from another dimension to invade. Having her name taken from her, what will soldier Ange see at the end of the fight? What can she believe in? What will she obtain? The story of a single girl’s fortitude starts now.

(Source: ANN, edited, MAL)