I'm obsessed with Grey's Anatomy, but I'd agree it's not the top thing I'd think of when I think of "girly tv shows".
Ummm... Switched at Birth. Totally my guilty pleasure. I typically like darker, more emotional, heavy shows, but SAB is my "corny" show that I just love. I think it's done pretty well.
My stepmom likes Pretty Little Liars too. I guess the ABC Family shows tend to do it, but I tried to watch Secret Life of the American Teenager and found it laughable. I couldn't bear it.