I throw away fabric that someone gave me that is not cotton, and is so thin or slippery or something. Sometimes I can give larger pieces to the missions in Jamaica.
But those broken sewing machine needles have a use. If you want to put a small wall hanging up, use the shank end of the broken needle, pound it into the wall and hang up your quilt. When you want to change to another quilt, just pull the needle out and you can hardly see the hole. I have a 3 foot by 4 foot quilt hanging on two such needles right now. Works!