Of course individual news orgs have their own bias. Left or right. Just as individual reporters have their own bias. The rightwing campaign to label "the media" as having a liberal bias is where my objection lies. After 10 years of enduring "the media's" fascination with Clinton's zipper I find it hard to see the liberal bias so often touted.
I think even you will admit to the rightwing bias found on radio (in general, on syndicated talk shows).
As for television, can you say "Monica"? My anecdotal evidence is that I >feel< the TV news and opinion shows are saturated with conservative viewpoints. I will give you one thing, though. The entertainment shows are skewed liberal by a large margin.