Honestly, get rid of the tabloids full of misinformation.
In Germany, press law says that if you publish false information about someone, they can sue you to publish a correction – placed as prominently as the original article. Which is how you get front pages like this: Counter-statement by the offended party, to the square millimetre as large as the original title.
Now don’t get me wrong the Bild is still abhorrent. But that kind of accountability through embarrassment does make them think thrice.
Another approach would be anti-monopoly laws. Haven’t looked into the actual ownership structure but by what they’re writing and pushing the British press seems to be basically wholly owned by Atlas-affiliated people.