Not really: they're just as easy to find as ever if you subscribe to The New Yorker and The Atlantic. Both are, as far as I know, on more-or-less the same publication schedule they've always used, since the 1920s and 1850s, respectively. If you like long-form stuff, there's also the NYRB, Harper's, and a bunch more in that general class; I just happen to like the first two the best.
Spiegel International I believe has the best coverage of European affairs and The Atlantic the best of US affairs. The New Yorker will, on occasion, have bar none the best investigative journalism around, but at the cost of the coverage being too spotty to use as a primary news source. Recently Spiegel International has mostly become that for me. (I live in Germany, and actually the fact that they only publish 3-4 articles per day in English I find quite nice since it tends to reduce the noise and just publish the most important stuff – usually in long-ish format.)
An interesting tidbit on Spiegel – despite being (in print format) a German language magazine, if I remember correctly, the only news magazines with larger circulation in the world are Time, Newsweek and The Economist and it reportedly has the largest fact-checking department in the world.
It's a weekly, and I find 2/4 issues will have nothing to read, 1/4 something decent, and 1/4 so outstanding I literally want to dance for happiness. The two I enjoyed most recently were:
1) An article on Fukushima about how the japanese government structured incentives for nuclear power safety and proliferation.
2) An article on the NSA's warrantless wiretapping whistleblower Thomas Drake (a spectacular example of terrible management's attempt to organize a software project)
Unfortunately, those articles aren't easy to search up because they're buried in my iPad somewhere. Here is a link to a wired story about #2, although it makes the story sound less interesting.
http://www.wired.com/threatlevel/2011/05/new-yorker-on-thoma...
"Give Me Something to Read" is a pretty good online aggregator: http://givemesomethingtoread.com/ .