I made some of my realtives to watch dramas after showing them 1 or 2 good movies and after wards I showed them like 4-5 different first eps...they liked City Hunter (after I forced them to watch the second eps too^^), because it was interesting, so they said
the thought Boys Over Flowers was funny, especially because of the curly hair of Jun Pyo, they liked A Gentleman's Dignity, because the main lead didn't look too young, they also liked Chilling Romance (actually it was my first time watching the movie too and I was forced to watch a horror movie), they thought Love Rain was amazingly boring and King2Hearts was a little bit unlogical because there are some fictional facts between North and South Korea...
in the end, I watched City Hunter and God's Quiz with them...they liked it and now my brother likes dramas too^^
So this is what my family thought about different dramas, I hope it helped, but my family is quite hard to persuade to do something....