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The show takes place in Ogikubo, which is the name of the specially designated area in space in the Milky Way where Earthlings and aliens can live together. Luluco is a female middle school student who lives with her father, and no matter where she is, Luluco is a common, "super normal" girl. As she is living her normal life, one day the mysterious transfer student ΑΩ Nova abruptly appears before her. That meeting will change Luluco's fate.

The story takes place on the planet Gift, where precious crystals called Giftjium are buried in the earth. A young man named Sōgo lives in Garden Indigo, a prosperous mining town. Sougo's hobby is to collect rare crystals. One day, he gets wrapped up in a riot caused by his classmates Kaon, Roman, and Otto, and he loses his way until he finds a lake deep under the ground's mining ruins. There, he meets a mysterious girl with blue hair and red eyes that gaze straight ahead. The story follows the adventure of what happens after this meeting.

Thirty years before a strange phenomena called a "spacequake" devastated the center of Eurasia, claiming the lives of at least 150 million people. Since then, smaller spacequakes plague the world on an irregular basis. Shidou Itsuka, a seemingly ordinary high schooler comes across a mysterious girl at the ground zero of a spacequake and learns from his sister Kotori she is one of the "Spirits" who are the real cause of the spacequakes that occur when they manifest themselves in the world. He also learns that Kotori is the captain of the airship Ratatoskr and recruits him to make use of his mysterious ability to seal the Spirits' powers and stop them from being a threat to mankind. However, there is a catch: to seal a Spirit, he must make her fall in love with him.

When Daichi Manatsu sees a mysterious rainbow appearing near the Tanegashima Space Center, he immediately recognizes it as being similar to an apparition that formed when his father was killed in a mysterious accident years earlier. Traveling to Tanegashima, Daichi quickly finds himself involved with the machinations of Globe, a secret agency created to defend mankind from extraterrestrial forces. And while it might seem like a big job for a mere teenager, it turns out that the skills Daichi has honed on video games, combined with a special weapon called the Livlaster, make Daichi ideally suited for operating the Earth Engine Impacter, a giant robot that may be Mankind's best hope against aliens whose goal is to completely drain our world's lifeforce energy. Fortunately, Daichi won't be on his own, as he's quickly joined by a group of equally dedicated young people who all have their own skills and abilities to contribute to the battle.