As you are shopping for a hat, likely you have a few features in mind that are important to you. Such as sun protection, moisture wicking, flame or fade resistance, headwear to keep you warm or cool, hypoallergenic, washable, packable, shapeable, water repellent or water resistant, lightweight, breezy. The material the hat is made of determines the features, characteristics and qualities the hat will have, and features the hat can offer. 

Shop hats by materials:

Cotton    *     Straw     *     Paperbraid     *     Synthetic     *     Wool     *     Leather

Find more detailed information about Hat Making Materials - Traditional and New Performance Fabrics