I mostly consult a local TV news site (www.ktvb.com) but I also sometimes go to CNN, and of course this site also alerts me to a lot of the things going on in the world.
One of my internet habits is that after I read an overseas (or even interstate) news story, if it interests me, I’ll seek out an online newspaper that is local to the event, to get more in-depth coverage, and to see what the local people think of it.
Last time I did this was when that Cuban martial arts guy lost his nut at the Olympics. I visited my first-ever Cuban website, an English language news outlet. Lots of olympic coverage, but not a mention of that bit.