Greatswords: Cruelty, Steel, and Iron share the same icon.
Greatax; Executioner's Axe, Minotaur Axe, and Steel Ax share same icon.
Ax: Firesplitter and iron ax share the same icon.
Hammer: Blood thunder and Iron Hammer share same icon. Despair and Hammer of Corrosion share same icon. Thunder and Steel Hammer share same icon.
Longsword: Magma Longsword, Sword of Flames, and Justice share same icon. Sword of Shock and Lighting Blade share same icon.
Bow: Hunter's Mark, Hunting Bow, Jester's Bow, and Oaken Bow share same icon.
Maul: Icy Maul and Blue Steel share same icon.
Mace: Beastgrinder, Bluesteel, and Ghostbane. Slivery mace and Winter Stone
Shortsword: Hunter's Fang and Steel sword share same icon.
I know a lot of these are normal weapons that have simple enchantments so most of them could stay the same. Hopefully this helps, although I feel like I just made a lot of work for david....sorry david.
EDIT: I took some of these from the wiki as I don't have all the weapons.