Two of my containers are labeled "scrap basket", Harmony!
They are only different in age. One is from an earlier time and when it filled I started a new one.
A quilt author and blog/quiltsite lady named Bonnie Hunter has a method for strip-cutting large scraps into exact widths and storing same widths together even though they are different lengths. Then when she wants a simple scrap quilt or simple scrap border she has those ready. Neat and space saving.
It works for her because she buys a lot of fabric, and shirts from good will etc to keep a big stash. And she like to make lots of simple quilt tops, many each year.