AllSides buys wholesale into right-wing framing. By what measure is CNN's news coverage on the leftmost side of the spectrum? Is MSNBC really the equivalent of Jacobin or Mother Jones, especially when it devotes 3 hours each morning to center-right Morning Joe?
I'm not sure why you are being downvoted. It doesn't make sense to put a socialist website like Jacobin in the same category as liberal sites. It's two very different and opposing political philosophies.
This is straightforward reporting. Are CNNs many headlines quoting Trump, Republicans or right-leaning judges examples of right-wing bias? Are news outlets not allow to accurately describe a conspiracy theory as baseless? To do otherwise is to implicitly give credence to it. Reporting is not mindless stenography.
Here's the problem with your framing: It's not "left-wing" if it's true.
The first. Sure, that's an opinionated take on the facts of the matter. But the facts aren't great either.
The second. Did a federal judge call the reasoning "unanchored in any facts"? If so, then they're just telling you what the judge said. Did the Trump DOJ then continue to pursue those records? If so, then they're just telling you what happened. That headline is devoid of any opinion. And let's not ignore, it's about CNN being the target of the Trump DOJ. If this is indicative of bias, it's bias towards CNN themselves, not any "left-wing agenda".
The third. Did Trump have a role in the security of the D.C. and the Capitol? The headline implies he did. And from what we know, he did have some role. He was responsible for certain things. Now the word "stunning" is a smell. But it's not really forcing you to care about one side or the other. It's just saying that the security breakdown was extremely unexpected. That all being said, did the Senate make a report? Did it reveal new details? Did it not say anything about what the President could have done but didn't?
The fourth. Obama is an former President. His words will be reported on. Did he say those things? It's not bias to say someone said something. It's not bias to report on a former President.
The fifth. Once again. Did that happen? Is that audio of Giuliani calling Ukraine to convince them to investigate Biden? Is the investigation he wants based on anything meaningful?
So of the five headlines you've chosen to demonstrate liberal bias by CNN only the top can be said to be actually biased. And that's mostly in presentation. Being critical of Trump, the Republican party, or "the right" in general isn't "left-wing" by default. Republicans themselves should have been critical of Trump. And they were, right up until he won the nomination.
Fairness isn't tit-for-tat. Not every "right-wing" impropriety must be balanced with a "left-wing" one. That's not fairness. That's sports team mentality.
Fairness is everyone being measured against the same standard.
https://www.allsides.com/media-bias/media-bias-ratings