For those who want to be effective talking about politics and how the world works, I think the most important thing is to reduce the amount of "current events" (and analysis thereof) that's part of your diet. Ideally, you would divide your time equally between what's happening now, and the things that help you make better sense of that.
For current events reporting and analysis, I would say the best sources are, in no particular order: BBC News, NPR News, PBS Newshour, The Economist, The Christian Science Monitor, The New York Times, and The Wall Street Journal. None of these are a surprise to people, with the exception of The Monitor, which is one of the best, yet most people wrongly believe it is a religious publication, which it absolutely is not.
I think it is critically important for people interested in politics is to avoid political blogs and magazines entirely - even the "good ones," unless you are trying to understand the thinking of those who read them - which is a different matter altogether. Tragically, the more someone gets into political affairs, the more they read all of the analysis out there, which ends up turing them into partisans.
But I think it is more important to dedicate at least half of your consumption to things like history, philosophy, economics (mostly macro), anthropology (current and previous), science, religion, and technology. If you don't do any of that, you will not be able to put things into the right context, or be able to distinguish what matters from what does not. For example, if you watch the PBS Newshour, which is a great source of international stories about the Middle East, you would be far better off than someone who watched Fox and knew nothing about the world, yet without understanding the history of that region, how much can you make sense of things now?
The hard thing is delving into these underlying subjects without getting lost in academic trivia or content that you can't relate to the present. But if you don't go to academia in some way, you probably will not get the comprehensive and unbiased (or not-too-biased) view that you want.
I have found the Teaching Company (www.teach12.com
) is the most reliable source of excellent, useful content. (They have real college classes you can listen to at your own pace and most libraries have most of their classes for free.) I can't recommend enough their lectures on American History (long, but crucial), Their stuff on Economics is also fantastic. Not to be missed is: "Why Economies Rise or Fall", all about how countries have succeeded or failed and why. I wish every member of Congress could listen to that one. Their anthropology stuff is fantastic, too - it really changes your worldview when you really believe we are one human family. I have been listening to their stuff while working out and commuting for 15 years.
To get a sense of why history matters and why the ancients are relevant to us (a requirement for the stamina to consume a lot of history instead of current events), I would recommend the truly outstanding book "A Day in the Life of Ancient Rome" (by Alberto Angela) which is a 24-hour journey through Rome in 115 A.D. You will be entertained and amazed at a society that achieved a standard of living for the poor and middle class unequaled in the world until the U.S. in 1940. To get a great sense of the path of world history, I would read the excellent children's book (I loved it) called "A Little History of the World" (by Gombrich). Except for 5 sentences, you wouldn't know it was for kids; it was written long ago.
Sigh. I could go on and on about sources....
Lastly, it is important to have many things you consume that are not just about or in the service of political matters. After all, as a cardinal told me once: "Life is so much bigger than politics." As for what to read to make you interesting outside of politics, Gregor certainly has to be the authority on that. :-)