There is nothing you can do with a 33 caliber rifle that a comparable 30 caliber rifle doesn't do as well or better. The next practical step up from any 30 caliber is 375.
It doesn't matter whether you're talking about 338 Fed vs 308, 338-06 vs 30-06, or 338 WM vs 300 WM the 33's shoot one bullet weight to the same speed as the 30's with a slightly lighter bullet. For example a 338 will shoot 250's at about the same speed as a 300 will shoot 225's. At the muzzle the 338 has a slight edge. But because of the more aerodynamic bullets the 300 quickly closes the gap and by the time both rounds are 200 yards down range it is a tie. At longer ranges the 300 wins and and at close range you can kill most anything with a 30-30.
Rifle, a Ruger Guide Gun in 375 Ruger.
http://ruger.com/products/guideGun/s...ets/47125.html
The 375 Ruger slightly bests 375 H&H but does not need a magnum action. Rifles are more reasonably priced and the round is popular enough now that it isn't going away.
But....I'd just as soon carry my CRF Winchester 70 SS Classic for any of the game you mention as either 375. Loaded with 150-180 gr bullets it'd kill anything in the lower 48 and with heavier 200-220 gr bullets is as effective on big bear as anything else.