While we wait on Plex and Gracenote… for the fellow danish users who would like a usable alternative solution. You can check out the xmltv meetv.dk grapper made by Klaus Madsen. meetv.dk includes all the danish channels (as far as I can tell), and the tv-guide data is quite good.
I have created a docker container that I use to update the xmltv data. You can check it out here: https://github.com/kibuan/xmltv_docker. The xmltv_docker solution can run all xmltv grappers, so it’s not exclusive to meetv.dk.