I've been reading the Economist for more than a decade and other publications as well in that time. They do an excellent job in my opinion of covering a variety of topics. Obviously reading specialized publications of each industry would give you a better idea, but a broad overview is great too.
For example, here's an article from 2011, titled "Print me a Stradivarius" [1]. If you were already familiar with 3D printing, the article might have struck you as elementary. But the vast majority of people don't work in tech, especially not in hardware tech. Such people almost certainly would not have heard of 3D printing in 2011, and learning about this would have been very valuable.
What I appreciate about the Economist is their restraint in covering current topics. A lot of their coverage is in-depth and subjects which _aren't_ topical. They aren't without flaws, but I've learnt a lot over the last decade by reading the Economist.
[1] - http://www.economist.com/node/18114327
Side note, the last time I criticised a pithy, poorly researched put down by you, I was told off by a moderator. I wonder if someone could defend this comment as somehow adding value to this discussion.