You can take a look at my list. Not all of them are popular. http://www.mangago.zone/home/mangalist/18948/
check out my non-yaoi favorites^^
http://www.mangago.zone/home/mangalist/6516/
Hmm...I don't mean this in an insulting way at all but have you considered trying another manga reading site? In addition to this one, of course! I'm not saying to stop using mangago but I've found that each site has a sort of "target" demographic ie the audience to which a large part/majority of their advertising/marketing attempts to lure in.
This site, I've noticed, is aimed more towards the yaoi/yuri and shounen/shoujo ai crowd. A site like mangahere puts a lot more effort in publicizing their shoujo (and some josei) so that's always a great place to go to discover new/popular shoujo. If you know you genuinely have no interest in the yaoi/yuri brand, maybe look into using that site as well.
Uh... are there any good romance/shoujo manga? I've read most of the popular ones... Its kinda hard to find (sorry if i offend someone) good shoujo when there are alot of homosexuality...