maybe the JDrama Innocent Love (I really can't remember what the female lead was like)
Mother (KDrama and the JVersion)
maybe Tantei no Tantei (the female lead is driven by revenge and comes off very cold)
Sympathy for Lady Vengeance (great Movie)
maybe N no Tame Ni (the female lead has a really difficult family situation that totally turns her life upside down.)
maybe Byakuyako (haven't watched this yet but heard a lot of good reviews)
Todome no Kiss (the female lead, girl-who-kisses, has a tragic past and comes off as creepy/indifferent at first)
+1 Soredemo, Ikite Yuku
Ashita, Mama Ga Inai
I know this is a little different but the JVersion Boku no Yabai Tsuma of the American Movie Gone Girl is really something you can try out. It is 9 Episodes and after telling the story of the movie in the first two Episodes the drama develops the relationships and characters further. It's definitely worth it.