For melee, 3 basic sizes (Off-hand, 1h, 2h), 3 basic types (Axe, Sword, Hammer/Mace) to start with. That's 9.
Handaxe
Dagger
Throwing Hammer
Battleaxe
Longsword
Mace
Greataxe
Greatsword
Maul
For ranged, the off-hand meleers work for thrown. However, for ammo-based ranged:
Sling
Crossbow...