http://www.mangago.zone/read-manga/mars_souryo_fuyumi/
http://www.mangago.zone/read-manga/strobe_edge/
These two are fairly popular. Though you gotta search well if you wanna find gems in shoujo. Or just read josei lol.
Mars, Renmei No Arcana (Dawn of the Arcana), Dengeki Daisy, Suki tte Ii Na Yo (Say I Love You), Kanata Kara (From Far Away), The One. The women in these are all fairly competent and intelligent.
http://www.mangago.zone/read-manga/mahou_tsukai_no_yome/
http://www.mangago.zone/read-manga/kimi_ni_todoke/
http://www.mangago.zone/read-manga/oresama_teacher/ If we're talking intellect, she's pretty dumb, but she's still a very likable heroine.
http://www.mangago.zone/read-manga/akagami_no_shirayukihime/
http://www.mangago.zone/read-manga/akuma_to_love_song/ Has a pretty awesome heroine, but sometimes you have to wonder if she's a masochist (you'll see what I mean if you decide to read it). You may want steer clear from this manga if you can't handle the usual melodrama and cliches you find in shoujo. Thought I'd mention it anyway.
http://www.mangago.zone/read-manga/kuragehime/ Jousei
So, I love Yaoi (of course), but am looking to branch out a little. Anyone know of decent shoujo or traditional romance mangas where the girl doesn't make me want to slam my head against the wall from how stupid she is? Something mature and simple.