Gargantia on the Verdurous Planet

The story begins in the distant future in the far reaches of the galaxy. The Human Galactic Alliance has been constantly fighting for its survival against a grotesque race of beings called "Hidiaazu." During an intense battle, the young lieutenant Ledo and his humanoid mobile weapon Chamber are swallowed up into a distortion of time and space. Waking from his artificially induced hibernation, Ledo realizes that he has arrived on Earth, the planet on the lost frontier. On this planet that was completely flooded by the seas, people live in fleets of giant ships, salvaging relics from the seas' depths in order to survive. Ledo arrives on one of the fleets called Gargantia. With no knowledge of the planet's history or culture, he is forced to live alongside Amy, a 15-year-old girl who serves as a messenger aboard the Gargantia fleet. To Ledo, who has lived a life where he knows nothing but fighting, these days of peace continue to surprise him. (Source: Anime News Network)

RahXephon

In the year 2012 Japan was invaded by the Mu. Human-like beings from another dimension with blue blood. In the year 2015 Tokyo is attacked by invaders, who are repelled by a humanoid weapon called a Dolem. During the chaos, Ayato Kamina meets Reika Mishima, a classmate. During that same day, he is attacked by government officials but a woman named Haruka comes to his rescue, informing him that she was sent to get him by the Organization TERRA, and that Tokyo had been sealed in a time rift where time flows one third as fast as the outside world. He flees from Haruka onto a train where he sees Reika once more. Arriving at the Room of Rah, he follows her to a tremendous egg where the Dolem RahXephon is hatched from, and upon her singing his mother appears atop the Dolem that had stopped the TERRA Invasion. In the battle Ayato's mother is injured, and Ayato flees Tokyo Jupiter with Haruka upon seeing his mother's blue blood.

Fantastic Children

A group of enigmatic white-haired children has been spotted at different times and places in Europe for over 500 years. Always with the appearance of 11-year-olds, they behave far more mature than they should be, never grow old, and seem to have supernatural power. What they have been seeking is a girl, and the only clue they have is a picture with a crescent moon. Now, in the year of 2012, an athletic boy named Tohma is about to be involved in this centuries-long mystery. (Source: Anime News Network)

The Sky Crawlers

The Sky Crawlers is based on a Japanese novel series by Hiroshi Mori. First published by Chuōkōron-shinsha in June 2001 and spanning five books, it follows the journeys and tribulations of a group of young fighter pilots involved in dogfight warfare, and is set during an alternate historical period.