The Independent is about as independent as the russian oligarch who independently owns it (like when it independently supported the tories in the election, or any of its anti-putin coverage).
The Guardian is about as independent as the Scott Trust which runs it to ensure it's always about news and not short term profit...er, until they changed it to Scott Trust Ltd a few years ago, and now there's loads of dodgy corporates running it (read about it
here). Current project seems to be to make the paper even more war-supporting, israel-friendly and anti-socialist to try and 'break america' with the website.
The BBC's about as independent as all the tories that have been shoved into its higher levels (like Tony Hall head of news - old school mate of cameron; Laura Kuenssberg political editor - married to an old school friend of cameron; Rick Nobinson, the last political editor - head of young conservatives in uni; Editor of daily politics - former chair of young conservatives; Rona Fairhead, ex-HSBC etc). The almost imperceptible BBC coverage of the ongoing privatisation of the NHS is understandable when you find out how many of members of the BBC trust have got direct links to private healthcare. Even without extra tories, the bbc has always been there to protect the establishment - one of its first acts when it started was to fully support the government in the general strike in the twenties, not allowing anyone from the left to speak on the radio (there's a famous quote from Reith something like 'the government knows they can rely on us not to be truly impartial'). Read
here about the BBC's impartiality in setting up on air resignation on daily politics to discredit corbyn and then bragging about it.
The telegraph independence is illustrated by them sacking Peter Obourne because he did journalism (by looking into HSBC corruption when they had big ad contracts with the paper).
The Mail is a slightly nuanced version of the same paper that gleefully supported the Nazis ('hurrah for the blackshirts!') - across all the media it's increasingly easy to do the thought experiment of switching out mentions of Muslim or immigrant with Jew and the result isn't pretty.
As a bus user the Metro (owned by the Mail) is good for lighting the fire.
Aaah, our glorious free press: you're free to own a newspaper and fill it with your own opinions (which, as a newspaper owner, will probably be right wing). If you know their biases you can still get good info from all of them - though it's often a case of dogs not barking. (cwor, i sound arrogant don't i?)
...
This is quite a good doc about british journalism
http://www.filmsforaction.org/watch/the-fourth-estate/
Starsuckers is a good doc too which has a good bit on 'infotainment' (making the news shit)
http://topdocumentaryfilms.com/starsuckers/