This is an official adaptation of the OVA anime, Macross II.

In the distant future, there exists a man named Ragnarok Guy, aka the Godkiller, the sole survivor of an elite band of superhuman soldiers. But now, he lives his life as a fugitive, pursued by a massive federation that wants nothing but to wipe him out. What are his secrets? And what is his goal? Find out in this action-packed sci-fi epic!

The story follows Justy Kaizard, a police officer who chases down criminal espers; his tactics might be similar to those of a bounty hunter but he is a salary-drawing officer. The lead character is also an esper, gifted with remarkable powers. He is able to moderate his psychic forces by the use of the headband that he wears. With this device, which acts only as a psychic damper, he can finely attenuate his powers to prevent collateral damage.

Ichimonji Ai is a teacher starting her first day of work. She’s kind of new at this, but she does have confidence. Even though she was late on her first day, made the big tough-looking boy cry, slipped off the stage at her introduction to the school, nearly passed out in the bathtub, and still lives with her parents, just maybe she’ll get her students through the rigors of high school, and win the heart of the fellow teacher Kurada… (Source: Animeraider)

In the first half of the 21st century, the necessities of a local war gave rise to a new type of soldier with metal surgically implanted in their backs in order to allow them to wear special combat armor. After the war ends and the men are demobilized, people start calling them Metal Backs, a phrase that becomes synonymous with men who have failed to become true heroes... and thus this SF masterpiece begins! From Manga Reborn