With dead and lifeless eyes, Rachel Gardner wishes only to die. Waking up in the basement of a building, she has no idea how or why she's there. She stumbles across a bandaged murderer named Zack, who is trying to escape. After promising to kill her as soon as he is free, Rachel and Zack set out to ascend through the building floor by floor until they escape. However, as they progress upward, they meet more twisted people, and all of them seem familiar with Rachel. What is her connection to the building, and why was she placed in it? Facing a new boss on each floor, can Rachel and Zack both achieve their wishes? [Written by MAL Rewrite]

In this prequel to the "X" TV series, a beautiful, young, bedridden dreamgazer named Kakyou remembers the life and death of a remarkable young woman whom he met in dreams. He also recounts his dreams of a tragic future in which the fate of the Earth will be decided.

Lupica, another one of the legion of space princesses that all seem to have found out about Earth in some tour book, appears and abducts Ataru! 

But Lupica isn't after Ataru for his great looks or charming personality (because he doesn't have either). Lupica's goal is the greatest love potion in the galaxy, which she intends to use to induce her sweetheart to tie the knot. To get it, she needs the possessor of the greatest lust in the universe...

(Source: AniDB)

The strange and magical events of the last season have left Kazuto with two Valkyries. He now finds himself living with and looking after both a teenaged-princess Valkyrie, as well as the child-princess Valkyrie! And they still have not yet gotten married... (Source: AniDB)