I’ve had a Games subscription forever. I remember being completely stumped by the cryptic crosswords. I couldn’t figure out what they wanted. Luckily I had a big stack of them saved up because one day it just clicked, and I had a bunch of fun.
Just a note about Fantasy and Science Fiction: I recently got an email from Gordon van Gelder, the publisher, saying my subscription was being sent to the wrong address. I hadn’t noticed (we get a lot of magazines and I often set it aside to read later) and discovered I hadn’t gotten an issue in months. He sent me the issues I missed.
My mom used to have subscriptions to about 9 or 10 magazines - the butt of family jokes, with all those folded-in-half magazines all over her kitchen table. Occasionally she’d go for interesting ones like Utne Reader, the Underground Grammarian, Horizon, or good ole Grump, but the one she always stuck with - her first, back in '47, was The New Yorker. She used to pass them onto me, but now she’s no longer around, my brother does. 
Mother Earth News. I did take a break for awhile, and when I returned I found the slick format and polished layout almost too much to bear. But there is still good info, so…
Backwoods Home Magazine sort of reminds me of the old TMEN days. BHM has a Libertarian slant, and TMEN was more of the 60s hippie Liberal folk. Modern day MEN is rather Republican, honestly.
Alas, I am still a 60s Liberal…
~VOW
And now Popular Science is no more:
Currently it’s Science News for about 20 years. Had a long time subscription to Discover before that and Scientific American before that. I really lost interest in that one when Martin Gardner stopped writing his column.
We still do Consumer Reports. It’s important.
Mad
Even now that it’s mostly reprints.
Seriously. I’ve subscribed to Time and Newsweek and Playboy and Scientific American, but haven’t in years. I still get specialty magazines liked Technology Review and Physics Today and Optics & Photonics News. But I’ve been getting Mad longer.
Worlds of Interior.
I subscribed to Scientific American from 1965 to this year. A few years ago, they started a newsletter that appeared several times a week with interesting science stories. Then a few months ago, some marketroid decided that only subscribers could read it. For reasons, I had put my subscription in my wife’s name, but I had her UID and PW. I had previously used them to download whole issues (because I could enlarge the print). Suddenly I could no longer do that nor could I read the newsletters. I finally called their “help” number and I got some guy with a strong South Asian accent who couldev not fathom what I wanted and I got into a shouting match with him in the course of which I cancelled the sub. Even though there were still 2 months left, they neither sent me the rest of the issues nor refunded anything. That’s how you drive away people who have subscribed for 58 years.
I subscribed for probably 30 years to Astounding/Analog. But whereas I had originally read them cover to cover the day they arrived, I finally more or less stopped reading them and so stopped subscribing. Same for F&SF. I still read SF novels, but somehow the short stories stopped grabbing me.
London Review of Books since 1987. About the same for the Guardian Weekly, which was a newspaper format but is now a magazine. Le Monde Diplomatique for 10 years, ditto Harper’s. Counterpunch since its inception but I doubt I will re-up this time. Over the years I’ve subscribed to the Atlantic, the Moscow News, Current Affairs, and a number of journals.
American Family Physician. I began it around 1984 and just ended it earlier this year after retiring.
Currently I’m still getting Cuisine at Home, and have been for just over 21 years.
Otherwise I gave up on Nat Geo, Atlantic Monthly, Time, Newsweek, The Week, and TV Guide a while back.
Not sure if it counts, but the Mensa Bulletin comes with membership, and as a lifetime member I get it as a subscription for free. It used to be a physical magazine but a few years back it went digital. I will hopefully continue to have a subscription for many more years since it’s a lifetime thing. So far I’ve been receiving it for 18 years.
Knowing this place I’m sure there are others here who also get it…
I no longer get Popular Science, and I haven’t for years, but I was a subscriber for decades starting back in the 1970s when I was in high school, initially as a gift from an older brother (who was in college at the time). It was a great broad overview of lots of topics. Remembering from back then were stories of the first pocket calculators, first video game systems and early home computers, pizza-box sized satellite dishes, Chevy’s first front-wheel cars (the Citation, ugh!), etc. I really enjoyed it then.
It is finally defunct, even as a digital-only version. (gift link)
I got Pop Sci starting in the 70s. My dad had a subscription and I remember when they went to the larger format, up from the Nat Geo size book to Life magazine size. That issue featured an article about home saunas and a picture of naked woman on the cover, no naughty bits shown, but it was quite controversial. It also made my dad renew the subscription. I continued with it as an adult for a while, it was a good way to keep up with some technology advancements, but then Popular Computing, Byte Magazine, and Dr. Dobbs Journal took over my interests.
At first I thought, “Not applicable to me. I don’t get any magazines.” But, yes…I do.
I graduated from a big private college (university) in 1975 and have received their free magazine for the intervening period. It’s a publication of the alumni association and is obviously a huge fundraising tool, but it is also a substantial, slick, well-written, and well-funded magazine, not some 12-page newsletter. I check the obituaries first in every issue. (Insert joke here.)
The other magazine I get is the NFPA Journal (National Fire Protection Association). I’ve been a member since 1986 and I read most of every issue.
I wouldn’t even have thought about it, but my alumni association does the same thing. I graduated 51 years ago.
You can join AARP when you turn 50. I didn’t. I had no interest in joining AARP. Nevertheless, I started receiving the AARP Bulletin when I was 50. I still do.
I have never subscribed to the New York Times Book Review, nor to the Sunday New York TImes which includes it. I do take it out of the library. Have for countless decades, even though it’s a weak shadow of what it used to be.
Now that I think about it, I joined SFWA (still with those initials despite now being the ungainly-named Science-FIction and Fantasy Writers Association) in 1975. They also send out a Bulletin. So 48 years for that. I wouldn’t pay for it if it weren’t free. That makes four of four magazines in this post.
That’s what I do when I get the newsletter from the company I retired from. Sadly, I discovered that one of my coworkers who was at least ten years younger than me had died a few years earlier.
I also get my free alumni magazine. I’ve been getting that a pretty long time!
Harper’s
Lately I barely read anything in it, no time. But I always do the challenging crossword, a cryptic with clever gimmicks such as odd grids, unclued entries you have to figure out a common thread for - stuff like that.
I re-subscribed a year ago (after a hiatus of several years…I first subscribed in the mid-90s).
I typically read through most of the short pieces, and maybe a third of the longer articles (or occasionally stories).
Once every three or four issues or so, I really get a lot out of an article — serious food for thought, a “keeper.*”. Once a year or so, I’ll incorporate something I read into a class I teach.
*Most recently, Ben Lerner’s piece on Wikipedia.