Clothesline or other cording
Fabric Strips (approximately 1/2" - 3/4" wide, any length)
Two clips (binder, clothespin, Wonder clip)
Sewing machine with zig zag stitch
How to make a coiled fabric bowl.
Handled fabric bowl.
Fabric coil coasters using hot glue.
This one uses 1/2" cording and is hand sewn.
If you need more inspiration, here's a collection of images of coiled baskets.