Someone knows an anime with a strong female protagonist? (no weapons or magical powers)
Gokusen
Jinrui wa Suitai Shimashita
tokyoesp.wikia.com/wiki/Rinka_Urushiba
Would Medaka Box count? I really liked the manga for it, and I think it fits the strong female protagonist category.
not searching for mary sues, just strong females who kick ass
>>250524
Birdy the Mighty. All of that stuff. There's like an OVA and two TV series, I think. Oh, and apparently an OVA for the TV series.
Ghost in the Shell, the entire franchise. Start with the original movie, then Innocence, then move on to the Stand Alone Complex TV series. Arise is optional.
Yozakura Quartet: Hana no Uta, Hoshi no Umi, Tsuki ni Naku. I know you said no weapons, but still.
Seirei no Moribito. She uses a spear though, but still.
The Blood series might be what you want, but also not? Maybe check out Blood-C. Or not.
Claymore?
Attack on Titan?
Princess Mononoke?
Cowboy Bebop?
Overall, Birdy and Ghost in the Shell are my top picks with Birdy being exactly what you want.