The News section in LexisLibrary contains content from the quality UK broadsheet newspapers including:
The Guardian contains information on studying law, a law blog, reports from Joshua Rozenberg, law jobs, legal aid, human rights and justice on trial.
The Times is here for completeness but sadly much of the content is behind a paywall. To search for newspaper articles from The Times go to the News section in the LexisLibrary database.
The Telegraph covers law in separate sections:
The Independent sometimes covers legal topics.