These are a few that I've watched. Since you didn't mention the nature of the forbidden love, I will explain how I find it forbidden for each drama I recommend!
1. Bring it on Ghost - kdrama (because she's a ghost and he's human) - naive romance
2. Jugglers - kdrama: office romance - company policy
3. Just You - twdrama - same reason as number 2
4. Love in the Moonlight - kdrama - firstly because he's the crown prince and she's a slave; secondly because he thinks she's a boy and the third reason I can't tell you, because I would spoil it for you
4. Coffee Prince - kdrama - he thinks she's a boy
5. Because this is my first life - kdrama - they can't fall in love for each other in order to live and share the same house.
6. My Teacher - jmovie - student/teacher romance
7. The Princess' Man - kdrama - Romeo and Juliet type of romance