Sunday Without God

God has abandoned the world. Women had stopped giving birth and the dead are damned to walk among the living even if their bodies are damaged beyond healing. Only appointed individuals called gravekeepers can bury the deceased and put them to rest. Ai Astin is a young girl who took on the role of a gravekeeper after her late mother passed away. One day, a mysterious immortal man appears at Ai's village and slaughters all of the residents except her. Ai, having no where else to go, ends up leaving her home to travel with the man in hopes of seeking answers to why God left the world in such a horrific state.

Synopsis from Anime News Network