Well, since you love not only a K but also a J drama, I'll recommend some Cdramas... maybe you'll like it:
Chef Hua (2020) [TOTALLy slice of life about living, working, loving, getting married, earning money, solving family problems]
My Wife's Double Life (2024) [Are crimes ok? For solving I mean]
Romance of a Twin Flower (2023) [Again: they also solve crimes / investigate together]
The Love by Hypnotic (2019) [been some time since I've seen but don't actually remember having anything about politics. The hint is that they get married for diplomatic reasons -not a spoiler-]
The Romance of Hua Rong (2019) [ well... Guy's a pirate]
The Sword and the Brocade (2021) [I really like it. Married life, younger woman teaching an older man about how a real love and relationship are like. PS.: ML already has other wives]
The Story of Ming Lan (2018) [TOO many epsodes, I KNOW. But first half is more about everyone being raised by their own families, so you can watch it faster until they all are actually adults]
A bit of politics but not the central plot:
Destined (2023)