Many family dramas tend to have married couples, for eg:
All About My Mom - of the 3 couples, one of them got married early on and remained married throughout the series. I loved them because they were super cute together. One of the less frustrating family dramas out there.
Golden Bride - this one is getting on in years, but it's still worth the watch I believe, and the couple here is one the cutest I've ever seen. Plus, I loved the fact that she & her mother - in - law got along swimmingly. No hateful mom-in-law here!
Smile, You - the couple here also married early in the series. I liked the couple in Golden Bride a bit more, though.
Regular dramas:
Cuo Dian Yuan Yang - Zanilla Zhao is the cutest here & she and her Wuji make an adorable couple.
They get married early and stay married.
My Husband's Penis Won't Fit - this is a mature drama, both in terms of sexual content & the themes covered. Couple marries early on & stays married, though they experience their share of ups and downs. I didn't find it too angsty & negatively frustrating, though. This couple was a good match.