Here is a link to a Scrappy Medallion quilt that I find very pleasing to the eye...
http://www.aroundoz.com/a_craft_arch..._quilt_one.htm
http://www.aroundoz.com/a_craft_arch..._quilt_two.htm
It comes in two parts, so you need both links.
Also, you can use the really small scraps for string quilts. There are many free patterns and tutorials for string quilts on the web.