Biscuit Teacher Star Candy (Korean)- School romance drama about a guy falling for his teacher. He chases her throughout the drama.
All About My Romance (Korean)- Political romance drama where sparks fly between rivals.
The Greatest Love (Korean)- This is a romantic comedy involving celebrities: a top-star and a former top-star.
The Pursuit of Happiness (Taiwanese)- This is a romance drama where, much like the first drama I recommended, the guy chases the girl throughout the drama.
If you choose one of these, I hope you like it.