I have a ton of plastic minis (over 2,000 sculpts and over 8,000 miniatures). I'm currently storing them in small shoe boxes and Rubbermaid containers about the same size as said shoeboxes. This has been more of an issue with the more brittle nature of PFS minis, I have found a number of broken minis, almost always rares. (all of my shattered star slurks are missing teeth, and ticks and insects are missing legs, many flying bases are broken off at the base)
So, how do people store their minis to prevent damaging them. I was looking at this link and it had me thinking about getting an Ikea Billy Bookcase, and adding drawer runners to the shelves, so I can more easily find a mini in the back as needed.