In the US, from at least 1950 through at least the 1970s, there was such a thing.
You had, for example, the editor of the New York Times who, knowing that his reporters leaned left, deliberately steering the editorial policy to the right, trying to have the net result be unbiased. He literally had them put on his tombstone "He kept the paper straight."
Was it perfect? No. But it tried.
I have lived through it ending. As I have said, the difference matters. You see that in the distrust for the media. You see it in our civic discourse, where the two sides can't agree on basic facts because they can't trust anyone to tell them something that is not just one side's narrative.
But to all those who have replied, claiming that unbiased reporting is a fantasy, that everybody is pushing a narrative: When you say that, are you sure that you haven't bought someone's narrative? Or is that a narrative that you are deliberately trying to create?