Here in unregulated N.Z hunters use just about every thing that goes bang from muzzle loaders to .22magnum rimfires and upwards ..
A big favourite is the .223 , I personaly , have a 6mmTCU (.223 case necked up and blown out ) and use it with 75grain soft point custom projectiles , this is a very accurate round and delivers more enregy than the .223 .. The question is can you deliver the projectile into the kill zone every time you pull the trigger the answer must be if you cant make the shot dont take it . Whether the cartridge of your choice has enough velocity /energy should be secondary to your personal ability , any of the cartridges mention on the thread will get kills or wounds / misses , it's all up to the shooters to be responsible and do their bit