Do you believe anything you read in the New York Times or listen to on CNN to be accurate ?

I check them and be sure that they are Journalists, if not I don't believe a word they say.  Note: All CNN and MSNBC reporters are JOURNALISTS.

Answering your question

Yeah.  

No. But even then, some of their articles are pretty good at describing events if you look through newspaper archives to do some history research. 

I suppose you mean things like announcing that Biden won the election and Trump lost. If you look very carefully you might discover that Trump lied. He lost. 

As with all information sources believe none of what you hear and only half of what you see and take even that with a BIG GRAIN of salt and always live by the first 3 rules :

Trust No One.

Trust No One.

Trust No One.

N.Shadows

CNN and the NYT often appear to be  in conflict with more right-leaning "media sources" - which only serves to underline and reinforce their own credibility!

ANY commercial news media source is biased to satisfy the prejudices of the audience it needs to retain to maintain its income.

Even though their reporting is frequently true their claims need to cross-checked with more reputable news sources like Breitbart and Infowars.