Magazine subscriptions can produce stacks of unreads so mountainous, you'll consider buying cats and hording unopened mail just to round out the shut-in mosaic. Instead of getting a storage unit, get Mygazines.
MG's a user-uploaded storehouse that lets you read, archive, and mash together back-issue and hot-off-the-presses mags, all completely free -- even cheaper than the Bazooka Joe you give bums to run interference for your library periodical heists. Just pick one of their 1000s of titles, or search by article type (e.g., automotive; electronics & audio; news, business & money; sports), select your desired issue, and use MG's slick browser to preview all pages/jump around by article name, flip through, and zoom (handy once you've destroyed your eyes by reading Harper's articles via LCD). You can then save articles to Favorites, social bookmark them, or easily email 'em to buddies; and as MG's constantly filling out thanks to user submissions, you can set up notifications for when your title, keyword, or date range shows up in the archives -- so you won't have to wait a single extra minute to see what's up with the 1978 Datsun 280ZX.
Finally, MG lets you snip articles/pages and compile them into your own custom "Mygazine", akin to ripping the pages out of mags and creating one super-tome -- because if you start accumulating stacks of virtual mags, you won't have any space left for all your LOLCats.