"Hozuki's Coolheadedness" is a dark comedy anime set in the afterlife, primarily within the bureaucratic structure of Hell. The narrative revolves around Hozuki, the stoic and efficient deputy chief of Enma, the King of Hell. Hozuki is tasked with managing the day-to-day operations of Hell, ensuring that the punishment of sinners runs smoothly and that the various departments of the underworld function without disruption. His calm and calculating demeanor contrasts sharply with the chaotic and often absurd nature of Hell's inhabitants and challenges.

The series explores the intricate hierarchy of Hell, which is depicted as a sprawling, bureaucratic entity with various departments, each responsible for different aspects of the afterlife. Hozuki navigates this complex system with unwavering composure, often devising clever solutions to problems that arise. These issues range from handling unruly demons and managing interdepartmental conflicts to dealing with the occasional interference from Heaven. The narrative frequently incorporates Japanese folklore, mythology, and cultural references, blending them with modern humor and satire.

Key characters include Hozuki himself, whose sharp wit and strategic mind make him a formidable figure in Hell. His assistant, a demon named Akutabe, provides comic relief with his bumbling yet loyal nature. Other notable characters include Enma, the somewhat indecisive King of Hell, and a host of demons, gods, and mythical creatures who populate the underworld. The series also introduces figures from other mythologies, such as Beelzebub and Satan, who interact with the Japanese underworld in humorous and unexpected ways.

The plot is episodic, with each episode presenting a new challenge or scenario that Hozuki must address. These scenarios often highlight the absurdity of Hell's bureaucracy and the eccentricities of its inhabitants. Despite the comedic tone, the series occasionally delves into darker themes, reflecting the grim nature of its setting. The interplay between humor and the macabre creates a unique tone that sets "Hozuki's Coolheadedness" apart from other anime in the comedy genre.

Overall, the series offers a richly detailed and imaginative portrayal of the afterlife, combining sharp humor with a deep appreciation for folklore and mythology. Its focus on the intricacies of Hell's bureaucracy and the clever, unflappable protagonist makes it a distinctive and engaging watch.