Pendragon has a nice short list of weapon types (8) but that's because it focuses on weapons used by knight characters:
- dagger
- broadsword
- greatsword
- mace
- axe
- ball & chain
- spear
- lance
There also some unarmed attack types, most importantly
- fist
- kick
and the option to use a shield to attack
- shield
for a total of 11.
The nice thing about this list is that there is a specific advantage to using each of them.
to fill out missing weapons, here's some suggestions:
- polearm
- javelin
- rapier
- staff
- net
- sling
- shortbow
- longbow
- crossbow
for a total of 20.