This was fun ... I made a Yarn Basket for my mom a couple months ago ... out of T-Shirt Yarn!
Evidently, I forgot to take a picture of the finished product before sending it off, but the basket ended up 6 or 8 inches tall, and something like 15 inches across. I was aiming for the idea I saw on Pinterest (see this pin) ... although I sort of made up my own pattern, rather than following that exact pattern.
I love the ease and the speed of crocheting with T-Shirt Yarn! T-Shirt Yarn crochet also makes great rugs (see pictures here, here and here.)