This might sound 'strange' but here goes anyway...use your imagination. The corners of any room are unused areas so hang a long piece of wide, and preferably stiff, ribbon from the ceiling. Then get the curtain hooks that look like a S that has one curve squashed up against the middle of the S and its end is sharp (for inserting into the fabric). Put those hooks down the length of the ribbon (insert back and forth thru the fabric so they don't tilt) and use them to hang things on. The things you use less could be hung higher up the ribbon. You could even hang several bobbins in each hook. (Yeah, I told you it was strange, but when a small space you have to adapt.)
Another idea I've read about before - use the plastic shoe pocket units that hang on the back (or front)of a door. They are great for storing all kinds of 'stuff'. You can even find them at dollar stores for a low price - won't cost much to try.