Anime Boom: Kekkaishi 1

"Wound of the Right Arm" & "Yoshimori and Tokine"

Yoshimori and Tokine do battle with a three-headed bird in an effort to protect the academy.

Someone captures the Ayakashi that Yoshimori is hunting right before he does. It turns out to be Tokine who had warned him to be prepared for anything. This starts a feud that can only be decided with a competition.