I don't think that there is such a thing as a news outlet that hasn't misquoted! After all, the BBC leads the way in this, followed closely by The Guardian.
The Daily Mail seems to take a battering on here.
Sometimes, like the BBC, it deserves it but other times it just seems that posters parrot things like, "Don't believe it because it's in the Daily Mail" or " I don't want to click on that link, it's the Daily Mail" just because they feel it's the right thing to say.
All news outlets fall somewhere on the political line-The Guardian is left wing and the Daily Mail is right wing-neither are instruments of the devil and it is very worrying that many people seem to think right wing views are reprehensible. They're not. They are simply another point of view, a mainstream point of view.
Some people hate left wing views, other hate right wing wing views but they are both valid. If you really hate The Guardian or the Daily Mail to such an extent that you think one or the other should never be believed or even looked at, then that is a dangerous path. We are all entitled to favour a news outlet that reflects our view but that doesn't make other views evil.
As far as The Daily Mail goes though, I do think that in many cases people just treat it as evil because they think that makes them look savvy or cool or knowing.
It doesn't.
Long live the free press and all the points of views that it holds. There is no one correct, official state, point of view and nor should there ever be.