Not shure if this fits, but it is definitely a good k-drama with a female lead. One of my all time favorites and its well known, so maybe you have allready seen it. If not, it is a must! My Mister
If you are looking for something more fluffy, light hearted and funny but with a deep hidden message, try "Please don't date him". Not many know that one. It is a bit out of the ordinary that is maybe why it is so underrated in my point of view.