I use the iris drawer/cases and have 6 in a rolling cart and another set of 3 that sits on my shelf.
I have them labeled as well (ie-basic grey, cardstock, etc).
I like these b/c it's easy to take the paper to a crop and they stay dust and moisture free. I pull out the drawer of cardstock and maybe another that I'm a fan of at the moment and put them in my bag to scrap.
There are some great ideas here. Unfortunately right now, I am sharing my craft space with my three sons toys...and many many legos!!!! I use the plastic boxes you can stack on one another so they can fit on my scrap shelf, it isn't the best idea but works for my space right now.
I use the stakable drawers also. Sterlite makes them in set of 3. I am not a paper hoarder, so I only have one set- bottom drawer holds card stock, middle drawer holds patterned paper, top drawer holds matched sets.
I use my scraprack for all my scrap pieces of cardstock and non-stack patterned paper. I try to keep a few sheet of full-size cardstock (for matting) in my scraprack, too. The rest of it is in vertical Crop Hopper holders