Baskets come in all shapes and sizes. There is a plethora of things that one can store in them and an endless list of things you can use them for. I went on a Pinterest hunt for repurposing ideas and wasn't surprised to find that there are only a few ideas on new things to make with old baskets (hanging lamps, for example).
It's safe to say that most prefer to give new life to old baskets with a quick makeover. There are tons of tutorials on how to spruce them up with paint, stain or fabric. There are also tons of make a basket projects that start from scratch with random materials.