I keep only covers of the magazines. I keep them in 3-hole binders in protective folders. Here are the pictures. I have no idea how many covers I have, maybe between 200 and 300. Or maybe more. I never counted actually. Most covers are Cosmopolitan (my favorite!), also ELLE and Vogue (both are various editions) and other glossy magazines.
Comparing to collections of people posting here, I might not have as many as them, but I am 20 and my time is about to come.
People, i wouldn't recommend you keeping your magazines one on another (especially a big stack). Chemical reactions between papers (for example between cover of one issue and back cover of another that was put on the previous one, if you understand me) might occur in future, and mags can be damaged (paper might in-curve, colours might change or the pages might stick one to another)
And I bite the dust of the covers with napkins from time to time (but gently, even napkins can scratch the cover). I drench one piece of napkin, clean the cover, and then clean it with a dry one.
Also, i look at this thread, it is really lovely. I hope and I pray the magazine industry won't die one day. !!!!