Hagure Yuusha no Aesthetica

Synopsis

Kaidou introduces Akatsuki to the director of the school's mechanical department where they see Sleipnir, a powerful magical bike that rejects anyone it deems unworthy of riding it. It initially rejects Akatsuki, but after learning that his father rode the bike, he becomes more determined and subdues Sleipnir. However, when Haruka attempts to remove Akatsuki from the bike Sleipnir responds by disintegrating her clothes. Akatsuki takes pity on her and gives her his jacket. Later Akatsuki joins the student council in dealing with a hostage situation and succeeds in saving a young girl. Haruka berates him for being reckless and arrogant, until the young girls mother mistakenly thanks Haruka for saving her daughter. Elsewhere in the building Kaidou violently deals with another terrorist while revealing he may be more dangerous than he appears. Later Haruka, who is starting to become attracted to Akatsuki, returns his jacket to Miu, too flustered to face him personally.

(Source: Wikipedia)