sure, some media tend towards 'liberal'
http://www.washingtonpost.com/

and others are 'more' conservative..
http://www.washtimes.com/ (owned by the Unification church of Rev. Moon)

...I do often wonder... if those who fret about a 'biased' liberal media were to find a conservative paper or TV network, would they refer to it as a 'biased' conservative media?

I do suspect that many forms of serious media do 'tend' toward liberalism, just as many of the Mudcat/folk community 'tend' the same way...and I see in that an echo of what they DO...
The media are ostensibly in the business of finding and reporting truth, and although they are often influenced by their advertisers, etc., you can often see that they'd LIKE to 'tell it like it is'...and this, to me, is a 'liberalish' attitude of wanting the public to know how the world is going...(boy, it is hard to boil this notion down to a few sentences!)

In the same way, folkies 'tend' to sing songs and reflect concerns of the 'people'...(I don't think I KNOW many Company Ballads)...and if there is ANY truth to the notion that conservatives and Big Business have some ideological parallels, then of course folkies and Mudcatters tend toward 'liberal'. Since 'conservative' can mean a wide variety of things..(social, religious, fiscal...etc.), there is no inconsistancy in having folks who like the songs, but have different ideas about government,money, religion, and behavior.