"Black Jack: Capital Transfer To Heian" is a two-part anime special that blends medical drama with historical fantasy, centering on the enigmatic and highly skilled unlicensed surgeon, Black Jack. The story unfolds as Black Jack is summoned to Kyoto, where the Japanese capital has been mysteriously transported back to the Heian period (794–1185). This temporal displacement creates a chaotic fusion of modern and ancient Japan, with contemporary technology and medical knowledge clashing against the traditions and superstitions of the Heian era.

Black Jack is approached by a noblewoman named Fujiwara no Shizuka, who seeks his expertise to save her ailing father, a high-ranking court official. The illness plaguing the nobleman is unlike anything Black Jack has encountered, with symptoms that defy modern medical understanding. As he delves deeper into the case, Black Jack discovers that the temporal anomaly is linked to a powerful artifact known as the "Heian Mirror," which has the ability to manipulate time and space. The mirror’s misuse by a rogue faction within the Heian court has caused the capital’s displacement and threatens to unravel the fabric of history.

Throughout the narrative, Black Jack navigates the complexities of Heian-era politics, encountering figures such as the cunning courtier Fujiwara no Michinaga and the mysterious onmyoji Abe no Seimei, who aids him in understanding the supernatural forces at play. The story explores themes of cultural clash, the ethical dilemmas of medical practice, and the consequences of tampering with time. Black Jack’s surgical skills and moral resolve are tested as he works to heal both the physical ailments of his patients and the temporal rift threatening the world.

The special retains the core elements of the "Black Jack" series, emphasizing the protagonist’s unorthodox methods, his unwavering commitment to saving lives, and his complex relationship with society. The historical setting adds a unique layer to the narrative, blending the series’ signature medical intrigue with a rich tapestry of Japanese folklore and history. The interplay between modern medicine and ancient beliefs creates a compelling backdrop for Black Jack’s journey, culminating in a resolution that balances the restoration of order with the preservation of human life.