Some time ago, I cut a lot of my smaller fabric pieces into strips of varying widths. I've been incorporating them into quilts, but recently, I found this excellent tutorial on making fabric baskets, and I had fun making a scrappy basket of my own.
I used 1.5" strips that I folded over on the exposed edge as I wrapped the cotton clothesline rope. This eliminated the raw edges that could produce a lot of loose threads. You could also cut strips on the bias.
I used up lots of narrow strips, and a lot of neutral thread. The finished basket used 96 feet of rope. I also went through several needles before I realized that using the needle down setting was bending them.
I love the swirling colors and it was very meditative winding the fabric around the rope and sewing around and around.
While I was making this basket I bought 100 feet of cotton cording from JoAnn Fabric (with a coupon) for a second basket. I think I'll coordinate the colors on the next one.
This made a nice sturdy basket and I used up a staggering amount of fabric strips.
I'm using this one as a knitting basket, though I can see making cat beds and tote bags using this technique.