The BBC is most definitely somewhat biased, though it's not as bad as the sensationalist, prejudiced, speculative crap I've seen on my (admittedly brief) forays into American news sources. Sky News is usually pretty reliable, I think, surprisingly enough.
I agree with the sentiment that every news source is biased though. It's impossible not to be. There are rarely any straight facts - it's all down to interpretation. I've just read a paper that re-evaluates every single statistic from another paper with the opposite view. They both drew completely separate conclusions by interpreting the data differently.