Let's go with Skyrim ores, shall we? 

There's Corundum, Dwarven Metal, Ebony, Iron, Orichalchium, Quicksilver, Malachite, Silver, Steel and, why not, the ones you suggested, Mithril and Adamantine. Let's also add an original from SAO, Crystallite. If you come up with more, just tell me. You are free to put this together in the sub-class Blacksmith as you like. ;P