The .308 can kill anything that walks on the planet, but if bear hunting is something that you plan on doing regularly I would invest in a good .338 Winchester magnum. The .375 H&H is a great cartridge and my personal choice for big bear hunting, but thereare not a lot of other uses for it. The .338 could very easily be used for smaller bears, elk, and moose. Most people would rate it as a bit of overkill on deer sized game, but no bear guide will ever call you undergunned with a .338 win mag.