My first rifle was a .308 and I shot stacks of game with it over here in Australia over the years. Many pigs, goats, and fallow deer, as well as a few scrub bulls. It's a nice mild cartridge and loaded up with good bullets perform well on some fairly large game.
Within the last year I bought a .300WM, mainly because a friend of mine was selling it, and I was living in a different area at the time and was considering doing more trips down south to chase our sambar deer. I haven't shot anything real big with it yet (just the regular pigs and fallow deer) but it hits with a lot more authority than a .308. Of course, there is extra noise, cost, recoil, etc, but if you can shoot one accurately, it's a fantastic cartridge.
I was given a box of 150gn Interlocks by a friend and I have shot lots of stuff with them since, but they're going a little fast for what that bullet can handle. Sure, everything has died emphatically, but they blow up and don't hold together and may be a bit risky on some bigger stuff. I've since got some 180gn Woodleigh PPSNs to reload and I'm keen to see how they go.
I'm not selling my .308 anytime soon, though.