Currently living in a 1BR, 1BA apartment with my wife and our two dogs. We're looking into modular storage similar to the crates (last pic) but more sturdy. We have very little space in terms of storage. We have two closets (one in bedroom, one in hall between bedroom and bathroom), and the cabinets in our tiny kitchen.
First is our pharmacy. Includes pain relievers, cold medicine, toilet paper, paper towels, shampoos, conditioners, body wash, soaps, lotions, vitamins, etc. Some plastic containers contain shaving razors, tampons, etc. for personal care.

Kitchen storage 1: We have very little storage in our kitchen. This is above the stove to the left. Contains chai tea for my wife, hot cocoa mixes, teabags, and peanut butter (have to keep away from dogs).

Kitchen storage 2: Directly above the stove. Contains some cereal, and most pasta/rice mixes (we love hamburger helper beef and mac, and got a great deal), pastas, jarred sauces. To the right of it is mostly baking items and spices, with more cereal at the top.

Kitchen storage 3: Directly above fridge is cake/dessert mixes, snack foods, jarred/canned gravies, Stove Top stuffing mix, some canned fruit and fruit cups, ketchup and more pasta mixes.

In our living room we have this little (read "P.O.S.") crate thing we got at Wal-Mart for $10 that couldn't hold a feather without bending a little. Currently holds almost all canned goods, and our unopened condiments like mustard, mayo, and jelly.

Like I said, we're in a tiny apartment with little space for storage. We're going to be getting a storage rack to put in the dining room to spread stuff out a bit and be able to stock more. Current project is someplace to store water without it being in the way and I'm thinking the bottom shelf will end up being for gallon jugs of water.
On the note of water storage in a small space, does anyone just keep store-bought gallon jugs? Or do you empty them and fill with water you purified yourself?