From Mobots:
Renton is a 14-year-old boy who occasionally helps out his grandfather as a mechanic. But his feelings of dissatisfaction and frustration grows as his mundane and routine work clouds his visions for his future and he dreams of flying around the world. It isn't until one day, a large human-like mech, a LFO (Light Finding Operation), falls from the sky in front of Renton and appearing from the depths of the machine is a beautiful young girl named Eureka. And as she asks the dumbfounded Renton for repairs, the two will embark upon a fantastic journey into the unknown.

Joey wants to be a hero, but he's just an orphan who works day and night to take care of himself and his grandmother. After seeing a commercial for a toy robot, he desperately wants one, thinking the robot will give him the strength to change. The only one he can afford, though, is a broken one a rich school bully threw in the trash. When Lina, a pretty cheerleader who's always been nice to him, is kidnapped, will Joey and his toy robot be able to become heroes and rescue her?

Spin-off set in the same world as Eureka Seven AO, following the adventures of heroine Yuna Maltan.

A manga based on the video games Eureka Seven: New Waze and New Vision. It features Sumner Sturgeon and Ruri, the protagonists of the games above.

Ao, Fleur and Elena start living together in the Fukai House, in Okinawa, along with Noah and Naru, who lost her house when a Secret attacked the island.

This story takes place on an island named Southern Cross Isle. One night, a boy named Takuto washed up on shore, after having swum from the mainland. He later, enrolls in Southern Cross High School as a senior and makes new friends. However, underneath the school, is a group of mysterious giants called Cybuddies. There are about 20 Cybuddies, and they are just some of the various secrets kept by everyone on the island: The secret movements of the mysterious organization known as "Kirahoshi Juujidan", the songs of the shrine maidens. Takuto himself will soon come to embrace a great secret.

In Japan in the year 2035, an accident known as the "Burst" occurs during a research project, spawning an out-of-control artificial life form called "Matter" that has spread throughout the Kurobe Gorge. The research city that was once hailed as the hope for humanity is cordoned off by the government.

Two years later, 15-year-old Tachibana Aiko, who lost her family in the Burst, learns something unbelievable from Kanzaki Yuuya, a new student at her school. Unknown to herself, a secret is hidden within her body, and the answer to the puzzle lies at the "Primary Point" that was the center of the Burst. Aiko resolves to infiltrate the restricted area, escorted by a team of divers and with Yuya as her guide.

When boy meets girl with the fate of humanity in their hands, what new truth will come to light?

(Source: Netflix)

From Viz:
Humans thought the wolves died off two centuries ago in this bleak post-apocalyptic wasteland. But some survivors lurk among the humans by mentally cloaking their animal bodies. One white wolf, Kiba, scours the land for the scent of the Lunar Flower that will lead them all to Paradise...But will it lead them to a deadly false legend?

Manga sequel to the Eureka Seven anime series. The story centers around a boy named Ao who "sets 'destiny' in motion again when he holds the 'power'".
(Source: ANN)

A young girl's nightmare becomes the search for the truth, a search that leads her to the secret and extremely dangerous world of Contractors and the Hells Gate. Hei and Mao try to protect Kana from the Contractors who are trying to silence her forever, while Kana clings to the hope of finding her father and piecing her life together again.

-- Bushido Angel Adventures

NOTE: (revised) The story is told much differently from the anime. It is focused mainly on the girl, Kana.