I discovered Korean dramas when I watched City Hunter (2011) on Netflix and quickly became hooked. I've seen over 60 since then and now watch a lot more Korean than American TV shows. The great story-telling and acting make reading subtitles worthwhile. Two Weeks is now my favorite Korean drama because it has everything that makes Korean TV so compelling--high stakes, fascinating characters with interesting arcs, fantastic acting, great pacing, and lots of pretty people.
A man living an aimless life one day learns that he has a 7 year old daughter he never knew about. His ex-girlfriend has tracked him down because the little girl has leukemia and desperately needs a bone marrow transplant. When a blood test shows that he can save her life, he suddenly has a purpose for living, but then he is framed for murder because of the way he has been living. He has two weeks to prove his innocence (while being hunted by both the police and a ruthless assassin) so he can save his daughter and redeem his life.
All the main actors are talented and good-looking, but Lee Jun Ki is so outstanding, the series is worth watching just for his performance. He became a super star in Asia in 2005 for his performance as the beautiful minstrel (clown) in the record-breaking film "The King and the Clown." Since then he has been (among other types) a playboy, a delinquent, a secret agent, a Robin Hood-type legend, a journalist, and a Josean era magistrate who can see ghosts. Once again LJK is playing a role completely different from any of his previous roles and creating an unforgettable character.
The Koreans like to give acting awards for Best Couple each year. There are plenty of great relationships in this story, but I wouldn't be surprised if this year saw the first Best Couple award for a father/daughter relationship for LJK and the adorable little girl who plays his daughter. For all the great action and suspense, their relationship is the real heart of this story.