What is the all around best large game hunting caliber? Has to be versatile and good for black bear, deer, and hogs.

[DakotaMan]

Note that these are all .30 caliber... an excellent caliber for game in the range you mention and all the way up to elk. If I had to choose one chambering in that caliber for the game you describe it would be the 30-06. You can see why it has endured the test of time... it is very flexible in range of bullets and power for a broad range of game. If you reload and use the 110g bullets at 3400 fps, it is even a great varmint rifle.