So I really want to read a cute completed shoujo manga with strong female lead. Does anyon...

This is kinda cute I guess.. well, at least the guy's are. http://www.mangago.me/read-manga/sadistic_beauty/

Okay that suggestion is the opposite of complete and I'm not sure I'd call it a cute shoujo lol (it's on hiatus for a few years until the authors contract w/ lezhin expires; it left off in the middle of a somewhat violent and crazy scene.)
Hella strong female lead though, and very sexy/smutty, revolving around bdsm.

Ouran High School Host Club and Kaichou Wa Maid-sama are classic shoujo manga that fit the criteria. You might have already read them though:

http://www.mangago.me/read-manga/ouran_high_school_host_club/
http://www.mangago.me/read-manga/kaichou_wa_maid_sama/

My Little Monster is a newer one that I really like too:
http://www.mangago.me/read-manga/tonari_no_kaibutsu_kun/

Beauty pop

lol yeah

I dunno what I was thinking when I posted it. I was just like.. eh. I guess it works. (￣∇￣")

Horimiya if you haven't read it (not really finished but they only release special chapters, the romance is complete at that point)