According to the official website, Anime adaptation of Kamisama no Inai Nichiyoubi (神さまのいない日曜日, The Sunday without God) was announced. Written by Kimihito Irie (入江 君人) and illustrated by Shino (茨乃), Kamisama no Inai Nichiyoubi is a Japanese light novel revolves around a little girl named Ai and a man Hampine who killed all the people in her village. The Manga of the series serialized in Dragon Comics Age since October 2010. Looks like it will be a good series, will keep you posted.
15 years ago, God has abandoned the world. Humans are no longer born, the dead no longer dies. In this desolate world, the only ones who can give peace to the dead are the “gravekeepers”. On this day, the gravekeeper Ai meets her destiny. Hampine, a man with red eyes, astonishing beauty and silver hair and calling himself the “man-eating toy” appears in front of her. Ai embarks on a journey with him after he kills everyone in the village, believing him to be her father.
Source: Official Website