If you cut up a magazine, then throw it away. There is NOTHING worse than getting a magazine because of a certain pattern or recipe in the index and finding someone cut it out -- especially if I paid for the mag!!! If you really want to keep portions of it, then make copies of the recipe or patterns and leave the mag intact.
If you're trying to get rid of magazinies other than quilt pattern mags, try the hospital waiting rooms. If you're trying to get rid of quilt mags, then either sell them on Ebay or take them to a Senior Center or Goodwill or call the LQS and find out where a guild is.....there's more than likely someone in a guild that would love them. Our local senior center had TONS of them for sale for $.50 each at the last quilt show. I bought 1/2 a ton!!!!