A race of cannibal monsters called the Shokujinki exists and it is the job of the Kifuuken, an elite group of beast-hunters, to stop them. Toshihiko Momota, an expert swordsman and son of the Kifuuken organization's leader, unexpectedly falls in love at first sight with a beautiful girl named Yuka. However, the couple's relationship is much more complicated than it seems at first glance, for Yuka is a Shokujinki.
I'm surprised that this anime isn't on the master list. The story was amazing, fun, and exciting from start to finish. The animation isn't it's forté but the strong characters and the plot are so good that it doesn't matter.
If you haven't watched this do it now, it's only 13 episodes.