My parents, mostly my mom, are asian drama fanatics. The only one I've ever watched and liked is called 'My Little Chef', a Japanese series about a chef whose father, also a chef, died. He passed on his talent to her, and she has some unique perspective of her own. The drama part is that her family relations are f***** up. Her parents didn't see eye to eye, and her mother had almost no part in raising her.
Then there was one about a therapist, her group of friends, and their love lives. The therapist goes on a date with a crime lord, whose rivals show up during the date. When the rivals leave, the guy tells the therapist, 'I usually can't stand up to my cousin(his enemy), but when you are with me, I feel so hard...I mean tough.'*insert blushy moment*. The series is quite funny.