> The early 2000’s where characterized primarily by the Big 3 Shonen Jump titles (Bleach, Naruto, and One Piece).
This category only exists in the minds of Westerners who were pirating shonen manga at the time. It's not the most popular anime in Japan at any point.
It's also funny Bleach made this list since it was frankly terribly written and not as popular as the other two. The author had no control over his story and would try to get out of plot holes by introducing another 20 characters every so often (he liked designing them but not writing them). And for some reason his main strength was fashion but then he moved the plot to a world where everyone wears the same plain black and white robes.