There have been studies trying to define media bias and make that measurable:
https://www.nature.com/articles/s41599-024-03143-w
https://www.sciencedirect.com/science/article/pii/S0957417423021437
https://www.sciencedirect.com/science/article/pii/B9780444636850000152
Why anybody in their right mind would waste their time and energy on clear cases like Fox News and MSNBC is beyond me.
Like just picking random articles from their website:
Apparently the opinion of an MSNBC columnist is openly for the democratic candidate or at least against Trump.
https://www.msnbc.com/opinion/msnbc-opinion/jon-stewart-tried-warn-us-joe-biden-rcna160914
Now you can decide whether that is a "hard left" bias or just a reasonable position giving that Trump is coy with dicatorship and that his disavowals of Project 2025 look like this:
I have no idea who is behind it. I disagree with some of the things they're saying and some of the things they're saying are absolutely ridiculous and abysmal. Anything they do, I wish them luck, but I have nothing to do with them.
But they at least had the decency to wear their convictions on their sleeves and label it an opinion (though only after you've clicked it, otherwise it's among election news...).
While apparently quoting Dave Portnoy's opinion (whysoever that is "BREAKING NEWS" btw they both call their frontpage that...) on George Clooney's op-ed is "news" and not an opinion. Now fair enough that apparently IS Dave Portnoy's opinion and that is pretty obvious, but stretching what is essentially: "Lil late George". to an article of a reading time of 5-6 minutes quoting him calling Biden a vegetable a total of 22 times (headline included) is not just "reporting" on a nobody, but sounds more like an excuse for calling Biden "a vegetable" without raising the blood pressure of the legal department...
So is this really a case for where you need science to tell you that these news outlets have a bias or even a strong bias? Well no. That is quite obvious. Where it might be much more interesting is with Reuters, AP or other supposedly neutral sources, where they lean towards, which ideas or ideologies they explicitly or implicitly push, what they are well informed and inform well about and so on.
Also even more interesting than the bias ratings is the factfulness ratings. So how reliable is what they report. Like ideally even if I disagree with a news source they might still be worth a read if they do their jobs well and provide their biased perspective with well articulated and well researched articles, that maybe even illuminate blindspots.
Now how do they perform in that regard?
https://www.politifact.com/article/2014/sep/16/fact-checking-fox-msnbc-and-cnn-punditfacts-networ/
For instance, currently 45 percent of the claims we’ve checked from NBC and MSNBC pundits and on-air personalities have been rated Mostly False, False or Pants on Fire.
At Fox and Fox News Channel, that same number is now 58 percent. At CNN, it’s 22 percent.
Now these numbers are from 2014 and they are from a fact checking website, so likely the claims that they checked were dubious to begin with. So one might take that with a grain of salt, nonetheless that's too high.
Like it's inevitable that news have a bias and it's inevitable that some news end up being wrong (if you deliver news fresh there is an intrinsic risk of being wrong or insufficient), that being said how often do they do that (fresh news) and how often do they just rehash existing news stories with a network specific spin? Still if your failure rate is slightly below or even above 50% that's just bad.
Again bias and fact checking are difficult endeavors where you not only have to assess a sources' bias but also account for your own and would need to find a benchmark to compare to which is likely also biased (even if it's just a little). But those are statements about nuances within what would otherwise appear to be neutral.
While if someone abuses the BREAKING NEWS WARNING that is reserved for idk natural disasters, nuclear war, catastrophes where you need to evacuate... you get the picture. For talking about shit some nobody has said. You should be able to asses for yourself that what you read isn't news but gossip...
If the headline is clickbait (provocative, emotional, ...) you should know it's gossip not news.
If it's one sided, it's obviously biased... If it's two sided or pretends to be it could still be biased, but at least they put in slightly more effort...
If the article doesn't match the headline, add that source to the block list (at least temporarily)...
Like with all due respect these are VERY VERY low bars for trustworthy news and if companies still fail them, don't honor them with your trust.
Seriously that's not supposed to be quality limbo ("how low can you go!"). If you're so far off from being a reliable source, you don't even qualify as comparison anymore.