If you have 10 minutes take no more than 2 inches off the very top of the stack and move it to a clear surface in another room. Using a kitchen timer will help you stay on task, as well. Caution: If you stay in the room with the rest of the stack and work on it where it is, it will be harder to de-clutter it because it wants to stay in the room with its friends. By taking it to another location, and only taking 1 or 2 inches of it, you will be much more likely to review the entire portion and trash, recycle or act on what you're handling right then.
If the kitchen timer goes off and you have 5 or 10 additional minutes, set the timer and work until it rings. Even if you're super energized and on a roll, stop earlier than you think you should and tidy up the surface you've been working on. If you haven't finished going through the 1-2" of papers, put the leftovers back on the original stack. We don't want to start baby stacks of "good intentions" all over the house or office.
We all need a mental "oasis" area in our homes. Your reading chair or bedroom can be that place. Gather together the last month's worth of unread magazines, wrap them up in a leftover ribbon and give yourself a present to take to your oasis area. By tying them with a pretty ribbon you'll know that you made a clear decision to keep and enjoy them; also, they won't get mixed up with other papers. As you read each one, pass it along to someone else the very next day.