I’m not sure how widespread this e-zine service is but if you have a library card check to see if your library includes Zinio. Through Zinio you can check out current and back issues of a wide variety of magazines. My estimate is that there are something like 200 different publications. Of special interest to writers in general are The Writer and Publisher’s Weekly. For children’s writers, there are also Highlights, High Five, Highlights Hello, and Seventeen. No, it isn’t a huge number but it is a handful of magazines that you don’t have to actually buy.
For each magazine, there is the current issue, back issues (for some magezines there are 3, for other 20) and the publication is available in a variety of formats including PC, Mac, Mobile and a variety of readers. To access a magazine you check it out which places it in your collection. You click on the magazine you want to read and it opens it into the Zinio viewer. Yeah, I’m not thrilled about that but I’ll have these to read while I’m using the treadmill.
I’m not sure about all of the features available in the reader but you can print pages which means that I can save them as PDFs. This could come in very handy when studying a market.
Fingers crossed that at least a few of your libraries offer Zinio.