My interpretation of the op's post was an acceptable group of calibers for each type of animal. Not 22lr for a moose. It is all about common sense, and even more about using the right judgement when deciding to take the shot.
I think buck fever accounts for most of the injured animals. A hunter must pass on the shot if all is not within a predefined set of rules. If you have a mental checklist of firing rules then you have time, or may bypass buck fever all together. Each can have thier own set of parameters but....everyone should include mental and physical state of the hunter.
I use .223 on wild pigs, and I have caught crap for it. But because I am very disciplined about my shots, none have run away. This has been proved on many pigs too numerous to even count anymore.