Dark C (carbonaceous) asteroids, which make up most asteroids and are in the outer belt. They're believed to be close to the Sun's composition, with little hydrogen or helium or other "volatile" elements.
Bright S (silicaceous) asteroids and are in the inner belt. They tend to be metallic iron with some silicates of iron and magnesium.
Bright M (metallic) asteroids. They sit in the middle of the asteroid belt and are mostly made up of metallic iron.