NYT, WaPo, PBS, Reuters, AP, etc... I'm missing a ton, as the NE is flush with long-running new publications (not to mention all the quality international pubs) that are reliable, whether some doofus on Twitter says so or not. There are basic journalistic standards that many TV and radio networks don't observe, but the old papers still do. Once upon a time, your local paper was your only window into the world, and you learned to differentiate between reliable and unreliable sources. It's generally why the long-running papers have been running so long, because they've built up trust.
Trust is super-critical for newspapers, and they enforce quality standards in order to preserve that trust. No paper has a 100% record, but no one hits 1.000 anyway. It's impossible. But if you want to dismiss these long-running publications because of past errors, then you can write off any other source that you'd want to recommend, because track record means a lot, and you're not going to find news sources with better track records than some of the publications I noted.
FFS, these newspapers are considered acceptable sources on term and research papers. I think before we discard proven sources, it makes more sense to review the pasts and accuracy of statements from the people who are calling these sources into question. Seems there are an awful lot of bald-faced liars pushing the narrative, and I question their claims long before the source.