In the near future, humans have discovered a fourth dimension, Dimension W, and a supposedly infinite source of energy within. In order to harness this profound new energy, mankind develops advanced "coils," devices that link to and use the power of Dimension W. However, by year 2071, the New Tesla Energy corporation has monopolized the energy industry with coils, soon leading to the illegal distribution of unofficial coils that begin flooding the markets. Kyouma Mabuchi is an ex-soldier who is wary of all coil-based technology to the extent that he still drives a gas-powered car. Kyouma is a "Collector," individuals with the sole duty of hunting down illegal coils in exchange for money. What started out as just any other mission is turned on its head when he bumps in Mira Yurizaki, an android with a connection to the "father" of coils. When a series of strange events begin to take place, these two unlikely allies band together to uncover the mysteries of Dimension W.

Souma Yukihira has been cooking alongside his father Jouichirou for as long as he can remember. As a sous chef at his father's restaurant, he has spent years developing his culinary expertise and inventing new dishes to amaze their customers. He aspires to exceed his father's skill and take over the restaurant one day, but he is shocked to learn that Jouichirou is closing up the shop to take a job in New York. Rather than tagging along with his father, Souma finds himself enrolling at the prestigious Tootsuki Culinary Academy, where only 10 percent of its students end up graduating. The school is famous for its "Shokugeki"—intense cooking competitions between students often used to settle debates and arguments. Jouichirou tells Souma that to surpass him and survive the next three years at Tootsuki and graduate there. The academy's brutal curriculum and fiercely competitive student body await the young chef, who must learn to navigate the treacherous environment if he wants to stand a chance at realizing his dreams. But is skill alone enough to let him rise to the top?

Maria is a powerful young witch living with her two familiars in medieval France during the Hundred Years' War against England. As the war rages on and the innocent get caught in its destruction, Maria becomes fed up with the situation and begins using her magic to try and prevent further conflict in hopes of maintaining peace. However, her constant intervention soon attracts the attention of the heavens, and the archangel Michael is sent to keep her from meddling in human affairs. The divine being confronts Maria, and he forbids her from using her powers, issuing a decree that her magic will be taken if she loses her virginity. Though she is now labeled a heretic, Maria adamantly refuses to heed Michael's warning and continues to disrupt the war between the two nations. But as the Church begins plotting to take away the witch's power and put a stop to Maria's interference once and for all, her peacemaking may soon come to an end.

Haruka Nanase and Makoto Tachibana have started middle school and must adjust to the changes that come along with growing up. While Makoto fits in with his classmates and remains positive about swimming, Haruka struggles to befriend others or join his school's swim club, as his previous issues with swimming trouble him. Distancing himself from his lively classmates and the swimming club, he has difficulty deciding which club to join instead. The rest of his classmates, including Makoto, are also hesitant as to which clubs to participate in. After an argument leads them to join the swimming club anyway, the boys strive to hone their skills, harmonize their swimming styles, and refine their conflicting feelings toward swimming and each other. As determination and talent run high, Haruka and Makoto—along with their classmates—discover themselves and improve their talents during their starting days.