It's so bad in the UK that some years ago the EU set up a "British Euromyths" blog, to highlight all the Daily Mail type "EU about to ban breathing!" stories. The pieces are mainly from the expected suspects.
It's so bad that the majority of people from deprived areas of the UK, places neglected by their own national government but do receive millions in EU funding still believed they would be better off leaving the EU. It's total madness.
There's plenty of generalizations and simplifications of issues, and in a few newspapers the tone is generally more critical of the EU. But most mainstream newspapers are actually quite pro-EU in general.