I like the Rachel Maddow Show on MSNBC (it streams on the show's blog too).
It may be more left-leaning than others, but it's probably the least alarmist thing I've seen.
She'll normally give these crazy detailed back stories to the top stories for each shows which is really interesting.
She'll also normally end each episode with a little quirky story, like how a Turkish game show (while all other Turkish media is being censored) hid revolution-related words in each clue.
It's much more trustworthy than other channels
If anything, it'll make a really good compliment to other sources.
On a different note:
If you don't mind getting news from a non-American source, the BBC should work. From what I've heard, TV news isn't suppose to have a political bias over there--their newspapers get very cut-throat, though.
There's some online ones too that'll work (I can't vouch for these personally):
Reuters
Huffington Post
Salon
(For business)
Market Watch
Bloomberg
(For Polls and statistics)
Public Policy Polling
Galup
There's always sites like NBC, MSN, Yahoo, etc. I don't go to them for politics, regardless, but their articles on random crap tend to be pretty good. I love reading the comments for them too; there's always one or two completely unrelated and super racist comments.
I think the Associated Press is pretty non-bias too. You can find their stuff all over the place--they're syndicated everywhere.
The Daily Show and Colbert Report actually tend to be pretty good news sources too.
Time Magazine has a good blend of stuff. Their cover stories tend to be pretty good-- however, they sometimes get changed to fit American audiences, which is disappointing.
I'm also a fan of HBO's Vice and Real Time with Bill Maher--if you have HBO.
60 Minutes is also trustworthy, but not a day-to-day source.
In general I'd stay away from the Drudge Report and Fox News. They are heavily influenced by right-wing politics. You can pay attention to them if you want, but please know that they report a lot of right-wing conspiracy theories in addition to a right-wing opinion.
It'd say the same about most blogs. You can find a lot of small stories no one else is reporting on through blogs, but you can also get a lot theories and spin. You can comb the internet to find the good ones if you want, but you're just as likely to find the racist, neo-Nazi stuff too.
I don't listen to radio news so I couldn't tell you about that. What I said about Fox News and Drudge Report goes for Rush Limbaugh too.
There's a lot of different kind of news out there.