My right-wing friend Roger thinks CNN has a liberal slant. At times, he thinks anything to the left of him is not only liberal but intentional liberal bias. To him, a news source that skews left is one that announced Obama had won instead of Romney.
Personally, I have two opinions of CNN. One is that their reporting is often just plain not very good. This is not to say that I think Fox News or MSNBC are a whole lot better. Secondly, I think CNN hasn't given up on the notion that they can lure some of the Fox News audience away by actually seeming "fair and balanced" — and their idea of balance is to occasionally skew stories in both directions.
Kevin Drum flags a good example of them spinning to the right. The headline says, "Poll Shows Majority of Americans Oppose Obamacare." That would make you think a majority of Americans want to repeal it, which means it's misleading. 43% supports it. 35% wants to get rid of it. 16% thinks it should be changed to do more. CNN adds the 35% and the 16% to get a majority…but "oppose" is not an accurate way to describe the feelings of the 16%. Just as "news organization" is not an accurate way to describe CNN.