| I would compare CNN/WSJ, and Fox/MSNBC. Much closer in terms of tone and target audience. Reason Magazine is probably the pinnacle of very good right-leaning journalism, filling the same niche as VICE on the left. I really enjoy the excellent journalism of both. EDIT: I have reproduced your original comparison with WSJ taking the place of CNN CNN: "Highland Park gunman's family was in turmoil for years before shooting" <-- neutral "Shinzo Abe's assassination shocks Japan" <-- neutral "Musk tells Twitter he wants out of deal to buy it. Twitter says it will force him to close the sale" <-- neutral "Here's what's in Biden's executive order on abortion rights" <-- neutral "Trump considering waiving executive privilege claim for Bannon but prosecutors say he was never shielded" <-- neutral WSJ: Japan’s Shinzo Abe, Former Premier, Is Assassinated <-- neutral Musk Moves to End Deal for Twitter <-- neutral Google Offers Concessions to Fend Off Antitrust Suit <-- neutral U.S. Jobs Market Remains Robust <-- neutral Investors Bet Euro’s Woes Are Far From Over <-- Somewhat editorial, but no clear bias Housing-Affordability Index At Lowest Level Since 2006 <-- neutral |
If you're interested in looking at broadcast rundowns by day, the Vanderbilt Television News Archive is invaluable. It permits keyword searches (for how a specific story was covered), or looking at broadcasts from the major networks (NBC, ABC, CBS, CNN, and Fox News), dating to as early as 1969 (for ABC, CBS, and NBC, with CNN and Fox being added at later dates).
https://tvnews.vanderbilt.edu/
For websites, navigating archives by date on the Internet Archive can be useful. It's difficult to pick a canonical time of day for stories, and archive timing varies, but you might choose a target such as 6pm US/Eastern to designate the end of a daily news cycle and find the copy that most nearly matches that.
As noted, there are organisations which perform this work themselves, including Ad Fontes (which I've already mentioned), Media Bias Fact Check (https://mediabiasfactcheck.com/), and more. Sourcewatch (https://sourcewatch.org) is another.
There are of course partisan bias-check organisations (e.g., the Media Resource Center on the right, Fairness and Accuracy in Reporting on the left). There are also groups which look for under-reported stories, most notably Project Censored (https://www.projectcensored.org/).