I'm in search of dramas about the Marriage life. Preferably something short 16-20 episodes and not the family dramas.

The drama should be about married people and their struggles in a marriage where they overcome it together. For example in tomorrow with you it was a time travel drama but also a drama about marriage, I search for something similar like that. Any suggestions?

Mou ichidou kimi ni propose is ten episodes. It's about a man who tries to make his wife fall in love with him again after she lost her memory.
Wedding
Sweet 18
One more happy ending (one of the female leads is married)
It started with a kiss 2 (aka They kiss again)

Hapimari
Cuo Dian Yuan Yang
I agree with above! Definitely check out We Married as a Job (NigeHaji)! 
Also I would recommend the currently airing drama My Loser Husband