Did you check the recommendation tab of Start-Up? There are good ones, including Fight For My Way.
If you check the hashtag #LoveToHate you'll find several other series that have couples on equal footing, worth your time:
Que Sera Sera - both are poor
It’s okay that’s love - both are famous because of their profession
The vineyard man - both are working at a farm
Fake Phoenixes - both are heir of the crown
Under the power - both are police officers