Drama Recommendation (read description for requirements)

The only one I know and have actually watched is Another Parting :)

Yeah! I did. Do you know where can I find subs for House Mate? with Yoon Hyun Min (drama festival mbc from 2014)

The only "short" Korean drama I really liked & watched was The Producers, which only had 12 episodes. But I have to war you: the duration of each episode was longer than usual 1h20 (even 1h30 for the two last ones?) so I'm not sure if it really fits your criteria :P 

The Lover has 12 episodes. It's one of the funniest shows I've seen this year. 

KBS Drama Specials are sometimes just 2 episodes and there are a lot of good drama specials. 
here's a link: https://www.youtube.com/playlist?list=PLMf7VY8La5R...
just choose there

Arranged by number of episodes:

- Splash Splash LOVE (2 episodes, almost like a movie split in two parts)
- Teleport Love (webdrama, 4 episodes of 18min each)
- Love In Memory (6 episodes of 10min each, really just a split movie also)
- White Christmas (8 episodes)
- Dr. Frost (10 episodes)
- The Virus (10 episodes)
- Orange Marmalade (12 episodes)
- Vampire Prosecutor (12 episodes)

By recommend value it's just the reverse order, but you can tell by previous recommendations that White Christmas is an exception and you should watch it by any means.

Some that I see haven't been named.........

Page Turner - 3 eps
The Producers - 12 eps
The Eccentric Daughter-in-Law - 12 eps

Japanese series are more known for the shorter episode runs by comparison to Korean series.