Episodes 5.5, 5.75, and 13 bundled with the second, third, and fourth Blu-ray volumes of ViVid Strike!

Raised up in the same orphanage, Fuuka and Rinne were once close friends but parted company after a quarrel ended up with Rinne overwhelmed Fuuka with her martial art skills. Fuuka has a life in poverty after leaving the orphanage. An accidental encounter with renowned martial arts champion Einhald Stratos discovered Fuuka's hidden talent in fighting; Einhald offered Fuuka a job and coaching, encouraging her to meet up with Rinne again—in a ring. (Source: ANN)

Arata is set to be expelled! The only way to save himself is to be taught more about the magic archives from the Trinity Seven themselves.

One day, the bright red sun stopped shining, causing the "Breakdown Phenomenon"—the destruction of Arata Kasuga's town and the disappearance of the people inhabiting it. All, however, is not yet lost; by utilizing the magical grimoire given to him by his childhood friend and cousin Hijiri Kasuga, Arata's world gets artificially reconstructed. In order to investigate the phenomenon, Lilith Asami appears before Arata, whose artificial world suddenly disintegrates. He is given two choices: hand over the book, or die. However, Arata chooses the third option—enrolling in the top-secret magic school Royal Biblia Academy, where six other magical users await him. Together with Lilith, these six form the Trinity Seven, the elite of the school who each bolster their own power and skill. With the ambition to save Hijiri and the help of his newfound friends, Arata stops at nothing to prevent the destruction of his beloved hometown and to bring his best friend back. [Written by MAL Rewrite]