Truth be told, a 222 (not 3) will handle all varmint/paper to 300 yds, and deer/hogs to 200, with good bullets.

A 6BR will handle all else in North America to 400 yds with good bullets thru vitals, save the large bears.

If I started over and were a handloader, I would build one each in a 8 twist. If factory ammo, I'd substitute a 223 and 243.

Large Bears would get a nine three.

Right now a 6.5x47 is my best tweener - though JB would say a 29 JB Express would be closer to the middle of the triple deuce and nine three.

I must say with new bullets, the latest powders and twist barrels, a 243 from 55 to 105 covers all but the great bears, again with Rule #1 applied.