All stories end when leads get married, but I want to watch after marriage drama, their story should start after they get married.  How they face problems of their married life together.  There are few options I would love to watch:-

  • Arranged marriage drama – they got married, don’t know much abt each other, still trying to know,  there is  mutual respect, facing/solving after marriage problems together.
  •  Love marriage-Everything is same as above (like facing problems) but its their love marriage. So understanding, love respect are already there.

Main thing is I want to watch some  Light RomCom after marriage drama.  No language preference. 

To my beloved it's a koreandrama

Dramas that i think are marriage centered

Arranged marriage:

  • Padiwarada (Thailand) - more of melo though very light melo with some cute funny scenes. But definitely and perfectly fits your descrition above.
  • Inborn Pair (Taiwan) - long family drama
  • We married as a job (Japan) - light romcom
  • Because Its my first Life (Korea) - light romcom
  • drunken to love you (Taiwan) romcom
  • Golden Bride  (Korea) - long and draggy family drama


Love marriage

  • My daugter Sooyoung (Korea) - family drama
  • Heard it through the grapevine (korea) - mainly family drama bht still so funny
  • Can't Lose (Korea) - light romcom, though it has a lot of them fighting and trying to divorce but still making the mraaige work
  • Thousand Days Promise (korea) - heavy melodrama
  • My husband Got Family (korea) - family drama
  • MaSsan (japan) - about interracial marriage
  • Love Now (Taiwan) - they did have a wedding ceremody at the start of the series, mainly because of some misunderstabding. But they finally and legally got married at the middle, thus the last part are about their married life
  • Romance of Our Parents (china) - decade storytelling of a a couple and thei life together

Because This Is My First Life - arranged marriage

Here is a list of contract relationships:  https://mydramalist.com/list/V3WD0g24

And this is an article I wrote about them: https://mydramalist.com/article/2016/08/23/top-10-dramas-with-contracted-relationships

About love marriage there's: Uchi no otto wa shigoto ga dekinai, Zannen na Otto

The ones I can think of right now is Go Back Couoke and Familiar Wife. Both of the dramas start with the couple already married and they go back in time to try and not get married and see how their lives would be.

People are saying "Because this is my first life" and "We married as a job" are arraigned marriages. They are actually contract marriages.

Many period dramas continue after the lead's marriage but they're not light romcoms :/

Wedding (2005) marriage of convenience

Sweet 18 (2004) arranged marriage

Valid Love (2014) love marriage

 

+1 for Padawarada

Also, I think a drama that fits the spirit of your request (not necessarily the letter) is Marriage, Not Dating. True, the leads do not get married until the end BUT they do get together before the end and have to learn&grow as a couple. It's one of those few shows that tries to teach that getting together/getting married is not just about "falling in love." 

https://mydramalist.com/24263-my-hero-series-lom-phrai-pook-ruk -They dated before but had broken up, see each after years and the ML blackmails FL to marry him in the beginning of the drama

https://mydramalist.com/14509-dung-sawan-sarb - Arranged marriage

https://mydramalist.com/13866-piang-chai-khon-nee-mai-chai-poo-wised - Arranged marriage

https://mydramalist.com/9885-raeng-pradtanaha - They get married early in the drama due to circumstances.

Paen Rai Long Tai Wa Rak, https://mydramalist.com/23969-paen-rai-long-tai-wa-rak, features arranged marriage, and it is really funny!

Also, Fated to Love You in all its incarnations is really sweet, with a few tears here and there.  

  1. https://mydramalist.com/747-fated-to-love-you
  2. https://mydramalist.com/9558-fated-to-love-you
  3. https://mydramalist.com/20612-youre-my-destiny

I'll also second @Czakhareina's suggestions for We Married as a Job, https://mydramalist.com/19702-nigeru-wa-haji-da-ga-yaku-ni-tatsu.