This is how store the majority of my ribbons! They are sorted by color, wrapped around craft sticks, secured with mix & matching straight pins and stored in teacups with a coordinating ribbon on the handle.
Note: My larger, thicker ribbons. plus any sheer ribbons (which tend to curl) are stored on large ribbon rings that hang in my nearby scraproom closet.
I think I've just about tried it all & these 2 means of organizing ribbon seem to work best for me!