I'm doubtful about copper, gold and tin. The hands-on gameplay strongly suggests that iron is the lowest tier of material for heavy armor and gold is just about the worst thing you could make armor from.
A new metal could be introduced to cover dwemer/dwarven armor, could be something like orichalcum.
In Bloodmoon you used a pickaxe to harvest Stahlrim, so that might also count as an ore. Its not listed as an option in the blacksmithing perks, but the skill to make armor/weapons from it could easily be a questable ability rather than merely a perk.
Also, disinterring entombed dragonbones might also count as mining them.
Coal for making steel could conceivably be counted as an ore as well.
This is the list of smithing perks:
■Steel Smithing- Create Steel armor and weapons at forges. Improve by double.
■Arcane Blacksmith- Improve magical weapons and armor.
■Dwarven Smithing- Create Dwarven armor and weapons at forges. Improve by double.
■Elven Smithing- Create Elven armor and weapons at forges. Improve by double.
■Orcish Smithing- Create Orcish armor and weapons at forges. Improve by double.
■Advanced Armors- Create scaled and plate armor at forges. Improve by double.
■Glass Smithing- Create glass armor and weapons at forges. Improve by double.
■Daedric Smithing- Create Daedric armor and weapons at forges. Improve by double.
■Ebony Smithing- Create Ebony armor and weapons at forges. Improve by double.
■Dragon Smithing- Create Dragon armor and weapons at forges. Improve by double.
So we also have elven armor, and maybe a new ore.
Yes, gold and bronze aren't good for armor, but maybe they ask for them to make top tier armor or weapons, for trims, engravings, etc etc.