I had the Full house as my first k drama in my profile (The drama I watched when I'm quite know abt things) but,
My first k drama was Jewel in the palace ( I was a kid then) which my sisters called me to watch with them. It was really a beautiful one.
And then starting from there, the next Korean drama was Boys over flowers which was a sensation among back those days.
Those are my way to Korean dramas. Anyway, Hope you find a good drama along the way :)