...though the list doesn't seem to be as interesting for much else - whip, slashing, piercing, bludgeoning...
0) hit
1) sting
2) whip
3) slash
4) bite
5) bludgeon
6) crush
7) pound

claw
9) maul
10) thrash
11) pierce
12) blast
13) punch
14) stab
15) kick
16) gore
Though a thought does come to mind of having a “natural weapon” proficiency. Of course, that would require races that had natural weapons (though if we don’t, it’s something that mobs could have…). Once you did that you could have bees that could have a sting proficiency so when they get their sting attack they could hit better with it and do more damage. Dogs that could bite, Cats that could have claw. My thought though would be to add in races like a minotaur that could have a natural attack of gore. See some other post on Races.