I still read Mad Magazine.
It's changed some since I first discovered it (and guffawed at it) decades ago, but it still has some pretty good writing and I get enough chuckles out of it to justify the sub.
The problem with Mad is that Mad will never be as funny as it was when you first discovered it - and it doesn't matter when that was. To me the funniest Mad articles are from the '80s. My Dad read it in the '60s, and thinks those are the best years. I have the whole run on DVD, and the '60s stuff doesn't strike me as funny as the '80s stuff.
The other problem with Mad is that pop culture has become self-parodying, which makes the parodist's job much more difficult.
(Mad isn't a news publication. But the question didn't specify that the periodicals be USEFUL, just worth reading!)