Please advise series attracted me to the topic of Bully Boy When a girl fall in love as:

The Black Devil and the White Prince Devil

The Black Devil and the White Prince

Devil Beside You 

Why Why Love

  Bull Fighting 

 The Snow Queen -although here it is the other way around

Boys Over Flowers  

Trees in Heaven  

A Witch in Love

 Advise some more please sub-region

Angry Mom
Addicted Heroin (if you like BL)
Yes! Mr. Fashion

Heirs
King2Hearts
Cheese in the Trap
Secret (though here is not just bullying, he seriuosly wants to kill her)
Falling for Innocence 
A Love to Kill (here the feelings again are deeper than just bullying, he wants to destroy her as a revenge)
^ tbh HwaShin isn't exactly a bully (esp when compared to other male leads) since all he really did was ignore her existence. he was just a prideful prideful man
I dont know about that, the scene in the elevator where he ridicules her in front of her peers and tries to make her feel inferior seems pretty bully-ish to me. He's better in the present years but the three year flashbacks are MEGA JERKY.

But yeah, he's not as bad as other men. 
The Greatest Love sort of fits what you are looking for
Not a drama, but a movie - OUR TIMES