At some point it doesn't matter what the cartridge is as long as you hit the target. At some point it's considered a diminishing return to have more and more power, or one bullet weighs 30 grains more or less than another. If you're talking under 300 yards and anything in North America a 30-06 is supposed to be plenty of good medicine, if you make a good shot. A hole through the heart & lungs is a hole through the heart and lungs regardless of what the caliber is. A 30-06 and up with a good shot will kill anything.
To be completely fair the largest animals I've ever taken have been deer, but I just listen to the old timer hunters that have been at it for 20-30 years. As much as I want to praise ballistic charts and my own knowledge. I'd much rather just look into the eyes of an old hunter who will tell you straight and get you squared away. Every cartridge has it's limits, but the ones you mentioned don't have too many that I've ever heard talk of.