Third Break Blade movie.

High school student Haru Yoshioka is bored with the monotony of life. One day, she saves Prince Lune of the Cat Kingdom from being run over by a truck. As a token of gratitude, the Cat King sends her "presents" and invites her to the Cat Kingdom to become Lune's wife. Haru's inability to properly communicate with the cats leads to the misunderstanding that she has accepted the proposal.

As Haru ponders on ways to escape the predicament, a mysterious voice instructs her to search for the Cat Bureau. However, not long after she finally arrives at the bureau, a horde of cats swarms in and forcibly takes her to the Cat Kingdom, along with a member of the Cat Bureau. Concerned for their safety, owner of the Cat Bureau, Baron Humbert von Gikkingen, follows close behind.

The more Haru immerses herself in the activities of the Cat Kingdom, the more cat-like she becomes. To her dismay, she soon learns that, unless she can find her true self, she may become a cat permanently. Haru's adventures in the world of cats lead her down a path to self-discovery, allowing her to return as a more confident person.

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)

Otonokizaka High School has been saved! Despite having to withdraw from the Love Live!, the efforts of μ's were able to garner enough interest in their school to prevent it from being shut down. What more, following the conclusion of the first, a second Love Live! is announced, this time on an even larger stage than before. Given a chance for redemption, the nine girls come together once more to sing their hearts out and claim victory. However, with the end of the school year approaching, the graduation of the third years draws near. As they attempt to reach the top of the Love Live!, they must also consider their future and choose what path the group will take. Though the question of whether to continue without the third years or disband weighs heavily on the minds of its members, μ's must quickly come to an answer with graduation right around the corner. Love Live! School Idol Project 2nd Season continues the story of the girls as they laugh, cry, sing, and dance in their journey to determine the future of their group and conquer the Love Live! in their last chance to win with all nine girls together. [Written by MAL Rewrite]