I know this stuff is available from a variety of sources, but I always pick it up from Harbor Freight because it’s seriously, seriously cheap. Like $3.50 for an 18″ x 72″ piece — and that’s not even on sale.
I always pick up a little extra when it goes on sale — I paid $1 per 18″ x 72″ piece last time — and stick it in storage because I always seem to be adding some kind of tool box/cart/etc. to our collection here. The photo above is from our tool cart, which is also highly recommended. This stuff keeps the tools from sliding around when you roll the cart, and keeps nicer tools from getting scratched up/scratching up the box/cart.
Harbor Freight’s marketing geniuses suggest using it to line your car’s truck. (What?) While that’s pretty jackass, it does work well in drawers. Back when I lived in an apartment I used to use a white version of this in my cabinets — resulting in less broken glasses and plates.
72″ Super Toolmate Non-Slip Pad & Drawer Liner [Harbor Freight]