You do not need the the web. Try watching Al Jazeera (who are not anti-American), PressTV (an Iranian TV news channel who are) Russia Today (RT), France 24 (a lot of French media is fiercely independent) and such like. I'm not saying that everything you hear on these channels will be totally impartial - but what you will get is 'the otherside' of the story - how you balance all of this out is entirely up to you.
On the web you could do worse than look up Paradigm Shift TV: who have produced some mind boggling stuff about the JFK assassination and 911 etc, and - this is a must - a guy called Max Keiser who is an ex Wall Street trader who gives the low down on the dirty deals done between the Federal Reserve, Wall Street and the US government (and much more).
As for the BBC - forget 'em - I'm a Brit who considers (like a lot of Brits) that their output is thinly disguised propaganda that we have to pay for (through the license fee).