This is a list of dramas that I've watched and I think most ( if not all) meet your inquiries.
1.Queen Inhyun's man
2. City Hall
3.Coffee Prince
4.Dal Ja's Spring
5.Secret Garden
6.Hi my sweet heart (Taiwanese)
7.Smile, You
8.Ugly Alert
9. IRIS
9.Star's Lover
10. The Princess' Man ( this one is historical, if you are fond of this genre you can give a try).