I don't keep a record of the articles that have made me roll my eyes. Usually it's when they report on an area I know a little about, like New Zealand or tech news, and I think "wait, that's not entirely true" or "that's not what people actually think about this subject" and it makes me think if I feel that way about those articles then that reduces the credibility of all articles by a small amount. https://mediabiasfactcheck.com/the-guardian/ has some information and examples.
Do you have any specific examples? I can't say that it mirrors my experience but i might have missed something.