I finally finished wrapping my fabric on foam core boards - and it has taken me MONTHS - but it was worth the effort - much better than storing it flat. The scraps I have in drawers will be the next thing I organize. Some of them have not been seen in YEARS! Get the picture? You may not be like me, but drawers are for things like thread, bias tape, scissors etc NOT fabric!
EDIT: I drape sheets over them to avoid fading - learned the hard way.