I posted these notes in the Orc Custom Class thread. They should help address the issues you are raising:
Bugbears (AC 4 and 2d4 damage)
+1 natural strength bonus, +3 natural armor bonus.
One-handed weapon (1d6) and shield
Dwarf (AC 5 and 1d8 damage)
Battle axe wielded two-handed (1d8) and banded plate armor
Elf (AC 4 and 1d8 damage)
Spear or sword wielded two-handed (1d8) and chain mail armor
Ettin (AC 6 and 2d8/3d6 damage)
+6 natural strength bonus / +7 natural strength bonus, +5 natural armor bonus
Spiked club (1d6) in each hand and hide armor
Gnome (AC 4 and 1d6 damage)
One-handed weapon (1d6), shield, and scale armor
Gnoll (AC 4 and 2d4 damage)
+1 natural strength bonus, +1 natural armor bonus
One-handed weapon (1d6), shield, and leather armor
Goblin (AC 3 and 1d6 damage)
One-handed weapon (1d6), shield, and leather armor
Hill Giant (AC 5 and 2d8)
+5 natural strength bonus, +3 natural armor bonus
Spear wielded two-handed (1d8)
Hobgoblin (AC 3 and 1d8 damage)
Spear wielded two-handed (1d8) and scale armor
Kobold (AC 2 and 1d4)
-1 natural strength penalty
Small weapon wielded two-handed (1d6) and leather armor
Ogre (AC 4 and 1d10 damage)
+3 natural strength bonus, +3 natural armor bonus
Club (1d4), fur armor
Orc (AC 3 and 1d6 damage)
One-handed weapon, shield, and leather armor
Note #1: Damage bonuses are converted into dice by adding the bonus to the average die roll than mapping it to a new larger or smaller die.
1d4+3 = 1d10
1d6-1 = 1d4
1d6+1 = 2d4 (technically should be 1d8, but making it 2d4 differentiates it from using a medium weapon two-handed)
1d8+5 = 2d8
Note #2: Dwarves ane elves arguably should get a fighter damage bonus of +1 to their weapons. If you believe that should be the case (e.g. they aren’t members of some slightly-less-than-elite class which has traded this damage bonus away), then their equipment load-out is:
Dwarf: One-handed weapon and shield, chainmail armor (AC4)
Elf: One-handed weapon and shield, lightweight chainmail armor (AC3)
Punches normally deal 1d3 nonlethal damage while kicks normally deal 1d4 nonlethal damage; neither attack can be used against characters in metal armor. However, monsters with natural armor may deal lethal damage and can punch or kick characters in metal armor without taking damage.