Read some
Bleach (manga)
Cardcaptor Sakura (manga)
Case Closed (manga)
Chobits (manga)
Dragon Ball (manga)
Excel Saga (manga)
MegaMan NT Warrior (manga)
Negima! Magister Negi Magi (manga)
Neon Genesis Evangelion (manga)
One Piece (manga)
Phantom Thief Jeanne (manga)
Ranma ½ (manga)
Tokyo Mew Mew (manga)
Tsubasa, RESERVoir CHRoNiCLE (manga by CLAMP)
Yotsuba&! (manga)

Read all
Angelic Layer (manga)
Azumanga Daioh (manga)
FLCL (manga)
Full Metal Panic! (manga)
.hack//Legend of the Twilight (manga)
Love Hina (manga)
Magic Knight Rayearth (manga)
Magic Knight Rayearth II (manga)
Marmalade Boy (manga)
Pretear (manga)
Ragnarok (manhwa)
Saber Marionette J (manga)
Sand Land (manga)
Time Stranger Kyoko (manga)
Wish (manga)

Will not finish
Digimon (manga)
Dragon Hunter (manhwa)
(The) Skull Man (manga by K Shimamoto)