Blood+
Unable to remember the past, high school senior Saya Otonashi must rediscover her destiny in order to defeat the chiropteran vampires that threaten her loved ones' existence.
Starring Eri Kitamura, Katsuyuki Konishi, Hiroyuki Yoshino, Akiko Yajima, Hochu Otsuka, Jurota Kosugi, Takashi Nagasako, Yuko Kaida, Junichi Suwabe, Kentaro Ito
Watch "Blood+" on Tubi TV released in 2005. It's a animation and action & adventure show, and has a rating of 7.6 out of 10 from Imdb which is usually fine for this kind of show, and is currently available to watch for free.