During the late 19th century, Great Britain has become the greatest empire the world has ever known. Hidden within its success, the nation's rigid economic hierarchy dictates the value of one's life solely on status and wealth. To no surprise, the system favors the aristocracy at the top and renders it impossible for the working class to ascend the ranks. William James Moriarty, the second son of the Moriarty household, lives as a regular noble while also being a consultant for the common folk to give them a hand and solve their problems. However, deep inside him lies a desire to destroy the current structure that dominates British society and those who benefit from it. Alongside his brothers Albert and Louis, William will do anything it takes to change the filthy world he lives in—even if blood must be spilled.

Even after spending a considerable amount of time with Takagi, Nishikata is still struggling to find a perfect plan to defeat the expert teaser. A battle of wits, a contest of physical prowess, a test of courage—any strategy he employs to expose her weaknesses is to no avail. On the contrary, Nishikata's pitiful attempts only reveal more of his own flaws, which Takagi takes advantage of to become increasingly daring in her teasing attempts. To make things worse for Nishikata, rumors about him and Takagi may have spread in class due to the frequent interactions between them. However, the optimistic Nishikata believes that wisdom comes with age and that as the days go by, his experience with her constant teasing will eventually bear fruit, leading him to the awaited moment of victory. Thus, Nishikata continues to strive for the seemingly impossible—to outsmart Takagi and make her blush with embarrassment.

Seikyou Private Academy, built on the intrigue of traditional occult myths, bears a dark past—for 60 years, it has been haunted by a ghost known as Yuuko, a young woman who mysteriously died in the basement of the old school building. With no memory of her life or death, Yuuko discreetly finds and heads the Paranormal Investigations Club in search of answers. A chance meeting leads Yuuko to cling to diligent freshman Teiichi Niiya, who can see the quirky ghost. They quickly grow close, and he decides to help her. Along with Kirie Kanoe, Yuuko's relative, and the oblivious second year Momoe Okonogi, they delve deep into the infamous Seven Mysteries of the storied school.

In the backwater town of Bellforest lives a 14-year-old boy named Renton Thurston. He desires to leave his home behind and join the mercenary group known as Gekkostate, hoping to find some adventure to brighten up his mundane life. However, stuck between his grandfather's insistence to become a mechanic like him and the pressure of his deceased father's legacy, the only excitement Renton finds is in his pastime of riding the Trapar wave particles that are dispersed throughout the air, an activity akin to surfing. Everything changes when an unknown object crashes through Renton's garage, discovered to be a Light Finding Operation—a robot capable of riding the Trapar waves—specifically known as the Nirvash typeZERO. Its pilot is a young girl named Eureka, a member of the Gekkostate, who requests a tune-up for the Nirvash. Their meeting sparks the beginning of Renton's involvement with the Gekkostate as he takes off alongside Eureka as the co-pilot of the Nirvash.