If you sew and hang on to all the bits and pieces remaining from your projects, you will end up with an assortment of scraps. I have a system of keeping mine in containers marked with the strip size to encourage using up my scraps. I got looking at a container full of plaid scraps that I've collected (not actually my scraps, but ones I picked up from another quilter...) and decided to put those lovely pieces to work. Here's my project that makes use of fabric scraps.
Sew them together to make strips, like this.
Quilt them and then cut them into a desired shape...
So you can make yourself a handy little bag such as this one.