"Blazing Famiglia" centers around a family of former teenage gangsters. Tetsu Hino (Yoshimi Tokui) was once the leader of the most feared motorcycle gang in the Kanto area. Now, Tetsu Hino is middle-aged man who is looked down upon by his rebellious son Shuhei (Kento Hayashi). One day, Tetsu and his old biker gang gather together again after the daughter of a member is assaulted. Tetsu, worried about his day to day life, nevertheless regains the passion from his biker days. Tetsu then finds out that Ken Igarashi (Jun Murakami) is the man behind the attack. Ken Igarashi has had a grudge against Tetsu for a long time.

When a guest commentator swells and explodes on live TV in an unprecedented and unimaginable crime, the whole world is thrown into shock. Behind this horrific murder is a man who has seemingly vanished into thin air: the Human Vapor. With no one able to grasp his true identity, this enigma continues to announce and execute a series of targeted assassinations, evading identification and capture to escalate nationwide terror with each inexplicable attack.

Struggling manga author Satoru Fujinuma is beset by his fear to express himself. However, he has a supernatural ability of being forced to prevent deaths and catastrophes by being sent back in time before the incident occurred, repeating time until the accident is prevented. One day, he gets involved in an accident that has him framed as a murderer. Desperate to save the victim, he sends himself back in time only to find himself as a grade-schooler one month before fellow classmate Kayo Hinazuki went missing. Satoru now embarks on a new quest: to save Kayo and solve the mystery behind her disappearance.