Bleach Vol. 5 (manga)

Ichigo Kurosaki thought that Soul Reapers were the only ones hunting Hollows, but he was wrong. Enter Uryû Ishida, a Quincy, and possibly the last member of a powerful clan that died out over 200 years ago. Unlike Soul Reapers who strive to cleanse Hollows of their sins and send them to the Soul Society, Quincys adopt a more direct approach--they kill Hollows without hesitation. To demonstrate the supremacy of the Quincys' ways, Uryû challenges Ichigo to a contest--bait is spread around the city, attracting a large number of unstable Hollows. Whoever defeats the most wins, regardless of the danger.
Also, Orihime and Chad, confronted with a host of Hollows terrorizing their friends, awaken to their own psychic abilities. Who is the strongest?