Shoujo manga

Reimei no Arcana

Oresama Teacher

Red river

akatsuki no yona
Kainushi wa Akuma

the most classic one ever... Kaichou wa maid-sama
Although you've probably already read it ヾ(❀╹◡╹)ﾉ~

Emotionally or physically strong?

Special A

http://www.mangago.zone/read-manga/barairo_my_honey/
http://www.mangago.zone/read-manga/beast_master/
http://www.mangago.zone/read-manga/hana_ni_arashi/
http://www.mangago.zone/read-manga/rasetsu_no_hana/
http://www.mangago.zone/read-manga/madame_petit/
http://www.mangago.zone/read-manga/tokyo_crazy_paradise/
http://www.mangago.zone/read-manga/he_s_dedicated_to_roses/
http://www.mangago.zone/read-manga/hana_no_kishi/
http://www.mangago.zone/read-manga/sp_x_baby/

Madame Petit - pliz try this one, she is an amazing heroine
Real Clothes - the mc becomes a leader and a woman I personally admire
Ouran Host Club - adorable
Btw, most of the manhwas have kick ass strong heroines