I have a lot of scrap fabric that I am looking to get rid of, it is anything from scraps to 1/4 yard pieces. They would make great quilting pieces. I'm just not a quilter.
Bundle them up and donate them to a local thrift shop, shoppers are always looking for scrap materiel of which they are sold in a very reasonable cost.
Take them to a local senior center as the centers usually have quilting classes and need materials.
Put an ad in Freecycle, or donate to a senior center or the Girl Scouts
If you would like your scrap fabric to go for a good cause you could think about donating them to one of your local thrift stores.
I have two large (heavy) bins of sets of fabric for childrens' quilts. Some have a printed fabric and matching backing, some are just lovely prints. Some are flannel, some cotton, and a few cotton/poly
I am looking for places or people who sew for charity to donate fabric to.