I have always used the 180gr Sierra SPBT. I've taken deer, elk, antelope, moose and black bear with them and found them very good bullets.
I took my Barren Ground Grizzley and my Polar Bear with the 220 Barnes. One shot each, by being verrrrry lucky.
Generally speaking, the lighter bullets are for greater velocity (therefore greater range for pointblank zero) and smaller animals. I have used the 180s for rockchucks, but the 168s or 150s are a little better for long shots.
Pops