[Haak]

I recommend Kara no Kyoukai. It's a series of seven films, each about murders that are taking place through supernatural means. The protagonist is Ryougi Shiki, a girl that has been raised in a family of demon hunters and has the ability to see the death of everything through her Mystic Eyes of Death Perception. She also has an almost insatable urge to kill:

Spoiler for sample:

I also see 5 Centimeters Per Second on your Plan to Watch list. I recommend wtahcing that as well.