In late-nineteenth century England, one year and three months after the dramatic conclusion of the original series, Kuroshitsuji II introduces a new butler and young master. The sadistic yet cheerful Alois Trancy has faced some harsh times. He was kidnapped as a baby, and was forced to work in a village as a slave. Gradually, he lost his parents, his brother, and everyone he knew. Alois eventually returned home and became the head of his mansion, but seemed to exhibit some strange behavior ever since. Even more curiously, he returned with Claude Faustus, an enigmatic, emotionless butler with unfathomable talent... 
(Source: AnimeNewsNetwork)

In Victorian-era Europe, a young boy loses everything he once held near and dear to a vicious plot. In his moment of death, he strikes a deal with a demon: his soul, in exchange for revenge. Ciel Phantomhive is now the head of the Phantomhive corporation, handling all business affairs as well as the underground work for the Queen of England. His new partner is a demon butler, Sebastian Michaelis, whose powers as a butler is only surpassed by his strength as a demon. 
The story follows the two along with their other servants, as they work to unravel the plot behind Ciel's parents' murder, and the horrendous tragedies that befell Ciel in the month directly after.

According to the Kuroshitsuji website, there are 6 OVAs included in the DVD releases. DVD 2: Ciel in Wonderland (Part 1) 
This re-imagines the cast of Kuroshitsuji II as characters in Lewis Carroll's Alice in Wonderland story. DVD 3: Welcome to the Phantomhive's 
This is meant to be like a simulation game. Elizabeth invites a lady (perhaps the viewer) to join her at a ball held at the Phantomhive mansion. DVD 5: The Making of Kuroshitsuji II 
This is a Hollywood style documentary with behind the scenes interviews with Sebastian, Ciel, Claude and Alois etc. DVD 6: Ciel in Wonderland (Part 2) 
This re-imagines the cast of Kuroshitsuji II as characters in Lewis Carroll's Alice in Wonderland story. DVD 8: The Tale of William the Shinigami 
William and Grell have to train new shinigami and reminisce about when they were training partners. DVD 9: The Spider's Intention 
The life in Trancy household and how those work under Alois is caring for him.

In late-nineteenth-century England, the Noah's Ark Circus enlivens the city of London with their grandeur and spectacular stunts. However, children are mysteriously disappearing from the town in a manner correlating to the troupe's movement. The Queen, then, sends her notorious Watchdog, Ciel Phantomhive, on an investigative mission to retrieve the missing children. Ciel and his demon butler, Sebastian Michaelis, infiltrate the circus, disguised as team members, to study and possibly unearth its ulterior motive.
 
This arc immediately follows the Curry Contest Arc in the manga, which ended at episode 15 in the first season of the anime.

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