This guide really only applies to those who use Realish Weapons & Armor (differently scaled weapons).

In order to kill game wild animals with one or two shots, use the following minimum weapon power with their corresponding animals:

Hares
Minimum Crossbow or Bow Power: 100
Minimum Bolt or Arrow Damage: 50
Recommended Crossbow or Bow Power: 125
Recommended Bolt or Arrow Damage: 65

Roe Deer
Minimum Crossbow or Bow Power: 135
Minimum Bolt or Arrow Damage: 65
Recommended Crossbow or Bow Power: 150
Recommended Bolt or Arrow Damage: 65

Wolves, Wild Dogs
Minimum Crossbow or Bow Power: 150
Minimum Bolt or Arrow Damage: 65
Recommended Crossbow or Bow Power: 175
Recommended Bolt or Arrow Damage: 75

Boar, Red Deer
Minimum Crossbow or Bow Power: 150
Minimum Bolt or Arrow Damage: 75
Recommended Crossbow or Bow Power: 175
Recommended Bolt or Arrow Damage: 75