In the thick stuff: 30-30. The all-time Pennsylvania record black bear - over 600 lbs liveweight - was taken with one shot from a 30-30. Out in the open field: 6.5X55 Swedish Mauser. 'Way over yonder: whatever can deliver at least 140 grains to arrive at at least 2100 fps within 4' of your intended impact point. As soon as your setup (of which you are a part) cannot do all three, the black bear is beyond your effective range.
You did specify 'recommended minimums'. As a rule of thumb, 'most anything that works on whitetail or mule deer in a situation will kill black bears in the same situation, as long as you stay away from really lightweight bullets.
Or do I misunderstand your question? Are you looking for an excuse to buy another rifle?
