I get all of my (non-HN) news from The Economist's audio edition. It's released weekly and they have a section right at the start about big things happening in business/politics around the world in the last week. It's no more than a couple minutes to scan, and 10-20 in normal speed audio.
The rest of the articles are at least one step back (since they summarize a week of what's happened). Many others are looking at some larger event or trend, sometimes with a recent event/anecdote as a lead in.
I like the audio edition in particular since I can put it on while I'm doing chores or commuting and I'll pick up bits and pieces even if I'm not fully paying attention. I can also have only the sections I care about included, which lets me skip the ones I really don't care about.