Crescent Moon

From Tokyopop:
After Mahiru has a haunting recurring dream, she meets the Lunar Race, which consists of the vampire Nozomu, the werewolf Akira, the fox Misoka, and the tengu Mitsuru. They need her help to recover the ‘Teardrops of the Moon,’ the recently-pilfered source of their power.
As the battles to recover the teardrops rage on, Mahiru tries to open up the dark, human-hating tengu Mitsuru, and form a bridge between humans and the Lunar Race.