Hmmm There is one instance I can think of, but the girls were on a even level rather than one being first female lead and the other second. Sorta........IDK

Anywho. I liked Ivy Chen in I Want to Become a Hard Persimmon more than the other girl.
Bad guy, i really was shipping the teen girl with him. 
Don't remember others, but the one that stroke me was the second female in Protect the boss. 
YOu start by hating her, you end up loving her. LOL She was not really mean, she was just lonely, she was funny and actually kind.