here are examples of Conservative Bias.
http://mediamatters.org/items/200505190008
http://mediamatters.org/items/200503290008
http://mediamatters.org/items/200412200001
http://mediamatters.org/items/200407060009
http://mediamatters.org/items/200407270003

And at least one liberal bias study has proven to be less than 100% accurate.
http://mediamatters.org/items/200505110005

At any rate, if the media were as liberal as conservatives say it is, then why are liberals calling the media conservative?
First, an anti-conservative organization isn't exactly an objective source--and MediaMatters in particulary is well-known for, well, sucking.

Second, MediaMatters notes--in order--Novak, a conservative columnist (note that Novak almost certainly meant the Deficit rather than National Debt--since the deficit as a percentage of GDP is lower... but either way, he's not a journalist, he's a columnist); a piece that also has the correction acknowledging it was incorrect at the bottom; an unreported poll which, not being able to see the poll myself, I can't say said or did not say what they claim it does (although the law of averages suggests it didn't), that came from someone giving them 4 days to report it and then running the critique; a writer pissed that CNN didn't report a "Bush Flip-flop" that the New York Times reported--a perusal of the NYT article shows that the "flip-flop" doesn't exist; and a piece that claims Stossel relied upon one study to find a result when there were actually several such. Six non-exmples out of six "examples"--not a very good record.

Likewise, the piece claims that people were labeled "conservative" more than six times as often as folks were labeled "liberal" because there are that many conservatives and liberals out there--logic a fourth-grader could pierce, they call it. Which makes sense, because the rebuttal sounds like something a fourth-grader would try.

How is the race or sexual orientation of the victim relate to the media being liberal or conservative? Can't a black homosexual be conservative? Can't a white heterosexual be liberal? I don't see your point. I don't see why race/sexual preference and political orientation are related.
Actually, the political views of the victims are indeed a non-issue. However, it's liberals, not conservatives, presenting a view of the world where black folks or homosexuals can't go outside for fear of being lynched--and the media publicizes events that uphold that view while ignoring events that would downplay it.