Zettai Karen Children(2005)

In the future, as people with ESP increase in numbers, so does the possible good and evil they can cause to society. The Japanese government establishes of the Base of Backing ESP Laboratory (BABEL), a special esper organization tasked with dealing with situations that can't be resolved by ordinary means, including dealing with espers engaged in criminal activity. Prodigy Kouichi Minamoto is assigned by BABEL to the task of supervising the most powerful espers in the country, a trio of gifted but mischievous young girls known as "The Children".

The Children and Minamoto must deal with several enemy organizations, each with conflicted views regarding the role of espers in the world, including "PANDRA", a cadre of rogue espers determined to wage war against the rest of mankind; "Black Phantom", a mercenary organization who brainwashes espers into living tools of destruction; and the "Normal People", composed solely of non-esper individuals who view espers only as a threat to be vanquished.

(Source: Wikipedia)

Included one-shot:

Volume 1: Zettai Karen Children (pilot)