You could cut them much smaller and use them in a confetti quilt.

I crochet purses with them.

I braid them, and then I put them into bags because someday I'll get around to making the braided rug I've been planning to make for the last ten years...one of my many non-quilt UFOs. Really skinny strips get braided to make little braids, then three of the little braids get braided together to make one fat braid. I also have miles and miles of ~1 1/2 inch strips of T-shirt material left over from T-shirt quilts, for which I only used the fronts. When three of those strips get braided together it makes a braid the same width as the fat braid above. Then you put them in bags and leave them in your closet.

i have some 'skinnys' if anyone is interested in them for postage.. I could probably fill a padded FRE or two..

I have seen a group on YouTube that weaves bags by threading thin strips of material between string that is stretched over cardboard.

i use them to make rag bowls, the 3/4" or more work fantastic and the bowls are oh so easy to do just get clothes line, wrap around and zig zag together. also i use those to paper piece little pineapple blocks 4" they turn out great. if you want to throw them all in a envelope and send them I will put them to use for my charity quilts. takes awhile to gather but they turn out beautiful for the hospital. waste not, want not, I don't have the heart throw anything out, come from the old school I guess.

I am making a crocheted rug and use skinny strips or selvages. My quilt group all save their selvages for me although some of them are too short as the rug gets bigger so you spend lots of time tying in new pieces. I think I have them "trained" now to only give me the longer ones! The width I've been using is about 1/2". I found this tip/idea in a quilting magazine.

If it's too overwhelming to keep them for your own use, think about this: some humane societies use dog/cat pads. A friend uses small scraps to fill these and is always looking for more. The handmade pads are sturdy and completely washable. If you call the humane society, they may be able to connect you with someone who does this.

Sewn to adding machine paper. Got that from this board.
Also not quilty but I love them. Rag garlands.

Miniature log cabin is typically made with 3/4 to 1 inch inch strips. Since it is such a small quilt and there isn't a lot of pull on the seams, you can use a little less than 1/4 inch seam.