+1 on recycle them.
It hurts? Look carefully at the tables of contents for two years of a given magazine. The last issue seems like you've seen it before? You have! So instead of, say, 10 -15 years of magazines, you're giving up two years' worth. Now look again; are they reusing the same adjectives to describe the latest and greatest? Now you figure out that there's only about 3-6 months of content, and the rest is recycled already -- only on how they're trying to sell the latest bikes.
If, after all that, you miss something, you can hit the newsstand for the next few months to restock.