I think you'd like mangas with strong female leads because they're not annoying but more of inspiring. Here's a list you can follow: http://www.mangago.zone/home/mangalist/38944/
And there is also a tag for it which you could also check out:
http://www.mangago.zone/tag/Strong+Female+Lead/
SHojo=girlxboy right? idk if this is one but I enjoy reading this: http://www.mangago.zone/read-manga/Talk_to_me/ (theres tons of sex btw)
they are quite a lot actually, if you lucky enough finding some hidden in so many trashy shoujos out there.
some of shoujos I considered CUTE and have a strong/unique female character:
Rere Hello
Yumemiru Taiyou
Haru Matsu Bokura
everything by Sakisaka Io
everything by Yamamori Mika
Hibi Chouchou
Ookami Shoujo to Kuri Ouji
Tomodachi no Hanashi
Love so Life
some mangas with VERY strong female character:
Last Game
Haru x Kiyo
Lovely Complex
Tonari no Kaibutsukun
High School Debut
Namaikizakari
that's all I can remember.. hope it helps.
Can I have a cute shojo with a nice girl, that isn't too shy, with personnality but not annoying?
Quite rare nowadays...
Thanks ^^