Arrowroot, amaranth, rice, potato, quinoa and tapioca are all types of gluten-free flour according to Web MD and Celiac.org. There are also companies that sell gluten-free flour blends such as Bob's Red Mill and Namaste Foods.
Different gluten-free flours have different applications. Not all gluten-free flours are good for baking or cooking. Wheat-free.org has an extensive list of gluten-free flours, how to utilize them, and alternative names for the flours. Pre-mixed gluten-free flour blends can be found at Bobsredmill.com and Namaste.com. The pre-mixed flour blends tend to be multipurpose and can be used in similar capacity to non gluten-free flour.