All of the cartridges that are listed can and have killed all of the animals listed in the OP. At 100- yds or less, I doubt that any animal listed would know the difference if he was shot with any of the cartridges listed.
I have or have had rifles chambered in most of the cartridges listed, or very similar cartridges, and I have also shot all of the animals listed with .300 Win or less rifles.
My current favorite rifle is my .300 Weatherby and my backup wet weather rifle is a stainless/synthetic stocked 7mm Rem mag. I wouldn't hesitate use either of these rifles to hunt any of the animals originally listed.