You have papers with excellent track records for accurate reporting getting blasted as fake news constantly.
TBH same paper can have a track record of accurate reporting in some things, and be wildly biased, inaccurate and unreliable in other things. It is easy to find ones that are all-around bad, it's not hard to find ones that are good at something and bad at something, but finding ones that are universally good... that's challenging. I wonder which ones you think have excellent record, never reporting anything bad or inaccurate.
They aren't often though, because they stake their reputation on being accurate.
Bias is harmful, but I think the WaPo and NYT are a much more acceptable level of bias then say, Fox.
One paper that does a great job in my opinion is "Die Zeit". I am not familiar with the American media landscape and thus a equivalent, however.