Film which "reconstructs" the Odd Taxi TV anime and also depicts what happens after the TV anime's finale.

OVA bundled with Niθ Art Works Vol. 2, featuring a new character named Kagekatsu Uesugi.

After the conclusion of Hakuouki, Chizuru Yukimura and the Shinsengumi are forced to flee Kyoto and set sail for Edo. In their commander Isami Kondou's absence, vice-commander Toshizou Hijikata steps in as acting commander. However, Hijikata is not only struggling with the extra leadership duties—which worries everyone around him—but also a newfound uncontrollable bloodlust. To make matters worse, the urge does not affect him alone, and it is even beginning to drive some of his subordinates mad. Finally, Kondou returns with orders from the emperor to defend the castle, and a new name for their squad: the Kouyou Chinbutai. But in war, the balance of power can shift suddenly and allegiances can waver. In Hakuouki Hekketsuroku, Chizuru follows the Shinsengumi into the heart of war and continues the search for her missing father, all while the bond between her and Hijikata grows ever stronger. [Written by MAL Rewrite]

The OVA features six separate stories revolving around the cast, some of which border on the bizarre; one of which is an MMORPG environment being played by Konata, Kagami, Tsukasa, and Nanako Kuroi, and another in which Kagami has a "suggestive" dream about Konata. (Source: Wikipedia)