I have watched Another Parting and Line Romance. I found it amazing that even though they had only 3 episodes at around 15 minutes each, they were really interesting. I was wondering are there other mini dramas out there anyone would recommend?
http://mydramalist.com/4177-secret-angel (nice story, although it does feel like your watching a normal drama and just skip a lot of minutes :+)
http://mydramalist.com/8131-rebellious (historical, plot is very good)
http://mydramalist.com/1149-legend-of-hyang-dan (historical, comedy)
http://mydramalist.com/5104-ma-boy (teen, gender-bender)
http://mydramalist.com/43-koizora (actually 6 eps of 45 minutes, but still pretty short)
I will teach you love (1 episode MBC special)
My personal favorite is a 3 episode romance drama: Hope for Dating on Viki~
Twenty Years Old
Secret Angel 
Ma Boy 
Kogure Shashinkan
Tsubasa no Oreta Tenshitachi
Aftermath
Holy Land
I second Tsubasa no Oreta Tenshitachi (season 1 and 2), and add Le Jun Kai (9 eps 15min each) and Heartbeat Love (5 episodes of 10min each).
If you are looking for something short I would also recomend the movie Awaiting that has only 26min.
Thanks so much for the recommendations! I'm going to check these out! :D