The .243 winchester is the most versatile, do all cartridge for anything under 250 pounds inside 300 yards. You can push a 55 grain bullet past a 22-250 and a 100 grain bullet close to 25-06 velocities. For coyotes, antelope, all species of deer it will do it all. Screw a 1:8 twist on it, load up some 105s, and it becomes a whole different animal.
