Fate/stay night [Heaven's Feel] I. presage flower

The first film in a trilogy adaptation of the third route of the popular visual novel: Fate/stay night. 10 years after the Holy Grail War—a battle waged by Masters and Servants over the wish-granting container, the Holy Grail—another war breaks out in Fuyuki City. Shirou Emiya—the adopted son of Kiritsugu Emiya, a participant of the previous Holy Grail War—is leading a peaceful life with people dear to him. Especially close to him is his underclassman Sakura Matou, who brings kindness into his otherwise lonely life. But once the Holy Grail War starts, Shirou’s peaceful life is sundered. (Source: Aniplex of America)

Elfen Lied

The Diclonius, a mutated homosapien that is said to be selected by God and will eventually become the destruction of mankind, possess two horns on their heads and have a "sixth sense" which gives them telekinetic abilities. Due to this dangerous power, they have been captured and isolated in laboratories by the government. Lucy, a young and psychotic Diclonius, manages to break free of her confines and brutally murders most of the guards in the laboratory where she is being held, only to be shot in the head as she makes her escape. She survives, falling off a cliff into the ocean and manages to drift along to a beach where two teenagers, Kouta and Yuka, discover her. Having lost her memories, she was named after the only thing that she can now say, "Nyuu," and the two allow her to stay at Kouta's home. However, it appears that the psychotic side of Lucy is not dead just yet... (Source: ANN - Revised)