Here’s what I made with the magazine covers I posted.
It’s a little basket — great little catch-all for jewelry or remote controls or what-have-you.
First, rip off your magazine covers, front and back. I used about 18 covers for this little guy (so: the covers from 9 magazines), but you can use more for a bigger basket, less for a smaller one, etc.
Then fold them in half lengthwise. Then again. Then again. You’re folding them in eighths to make narrow strips.

It helps to pull the strips across a hard corner (like a counter or a coffee table) to deepen the crease and keep them intact.

The result is a pile of these thick paper strips:

Now, you want to lay them out in a grid. The criss-crossed part of the grid is going to be the area of the bottom of your basket, so use as many strips as you need to make it the size and shape that you want. I went with a 4-by-5 grid (this is the 5-by-5 grid I originally eyeballed, then thought better of it and took one strip out). Make sure to keep them in really tight and at perfect right angles; here’s where your hot glue gun will come in handy (and doesn’t it always?). There’s no shame in a little glue to keep things where they should be.

Once you’ve got your bottom grid, you’re going to bend all of those loose ends up in the same direction. Start with the ones that are coming under the strip at the edges of the grids, because they’ll be on the inside of the next strip.
Next you’re threading another strip perpendicular to the grid, around what will become the sides of the basket. The bottom strips that were woven overhand at the edge are now going to be on the outside of these side strips; the bottom strips that were woven underhand will be on the inside. (That’s a confusing sentence; keep looking at the pictures.)

The way to make these strips long is to kind of tuck one of the ends of the strips into the ends of another. Since they’re all folded the same way, you can slide them into each other. (It’s kind of the same concept as making a super-long straw by tucking the ends into each other.)
Keep weaving, keep weaving, alternating as necessary, gluing all the way and making sure to keep your weave tight.
I only made the basket two strips deep (I wanted a little one); but if you want it taller, you can extend the upright strips by slipping in more strips in the straw-tucking method I explained, then keep weaving around. But when I came to what I wanted to be the topped, I trimmed the edge straight with scissors, then glued extra strips around and over the top to hide the cut edges. (Gives it a nice faux-foldover effect.)

Having this is so much better than having a stack of unread magazines cluttering my living room!
Protip: you can use any paper to make these baskets, but magazine covers are the sturdiest.