Ai yori Aoshi: Enishi - Miyuki is a 16 minute Christmas special set before the beginning of the first season. 
Based on manga chapters 43-44.

Two years after meeting Aoi, Kaoru and gang are still up to their normal habits. Kaoru now in grad school and the tenants being as rowdy as ever what will become of Aoi and Kaoru's love. 
Two years has passed since Aoi and Kaoru were freed from the bonds of their families. They continue to live their normal lives with their usual friends in their house.

Despite her family's protests, Aoi Sakuraba decides that she is going to marry Kaoru Hanabishi, her love of eighteen years. Once he realizes that her intentions are genuine - and that she's not just trying to get him to reconcile with his estranged (and domineering) family - he begins to definitely warm up to the idea, too. What obstacles must the two overcome in order to be together? 
(Source: Tokyopop)

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