Almost entirely online. Among major newspapers I read the New York Times, Wall Street Journal, Washington Post and Los Angeles Times daily. I also like the Christian Science Monitor (which is a 'news feature' paper rather than a conventional newspaper), and BBC for the scope of their international coverage (though I generally find their actual articles disappointingly short and shallow). I'm not much interested in blogs, and when I do look at them, usually find the comments more interesting than the actual entries. I pretty much never watch TV news, and while I do like NPR, I don't really have much time to listen to it (or perhaps more correctly, I'd rather read news than hear it, given the choice).
I don't read them regularly, but the Globe and Mail (Toronto), Independent (London), and Age (Melbourne) are among my favorite English-language papers outside the US.
If I'm highly interested in some particular story, I like to look it up on Google News and skim though the queue of articles they have on it--no two articles present the same set of facts, and you never know where the tidbit that suddenly makes some previously puzzling aspect of the story clear to you might pop up.
For professional reasons I also read several of the major Indian and Pakistani papers daily.