Unearthly Kyoto
The first episode of four, this is when we're introduced to Himiko, the spiritualist. She's been called to Japan to rid young Kyoto of a possession. In the process she meets Miyu, the mysterious vampire, and her companion Larva.
A Banquet of Marionettes
On another assignment, Himiko again meets Miyu and tries to find out more about her. At the same time, Miyu has her sights on a young boy but so does Ranka, another shinma. Their conflict comes to a head with unexpected results.
Fragile Armor
Miyu asks Himiko's help in freeing Larva from a binding spell. Miyu also must deal with a creature made of living armor, but he's not the only one who has it in for her. How Miyu met Larva is also revealed in this episode, which is different than how she met him in the television series.
Frozen Time
In this episode, Himiko learns of Miyu's past as well as how she came to be. She will also learn of her own ties to the young vampire.
It's a nice, short, series that's often thought to be better than the television series. You can find what I think about that here.