Cardcaptor Sakura by CLAMP
Popular magical girl series, taking a girl's mission to collect the Clow Cards.
Battle Angel Alita by Yukito Kishiro
A darker series, based on the reconstruction of a cyborg that lost its memories.
Oh My Goddess! by Kosuke Fujishima
A lighter series, starting off with a college student surrounded by three goddesses.
Fushigi Yuugi by Yu Watase
A girl is taken to a mysterious Chinese based country by opening a book in the library.
Inu Yasha by Rumiko Takahashi
Falling into a mysterious well, a school girl must work with the half demon she released.
Ranma 1/2 by Rumiko Takahashi
A long running series where the main character changes between boy and girl with water.
Magic Knight Rayearth by CLAMP
Three normal girls are transported to a new world where they must fight to save it.
Neon Genesis Evangelion by Yoshiyuki Sadamoto, based on GAINAX
A controversial but popular anime series, where humanity is faced with judgement by ANGELS
Gundam Wing by Koichi Tokita, Yoshiyuke Tomino
A mech series, where five young boys pilot powerful mobile suits for a purpose unknown.