....and yet here's another vote for the 308!

The .308 is actually the military 7.62 NATO cartridge and is well known for its legendary accuracy. The recoil is not anywhere's like a .300 magnum or a 12GA with a slug.

The .243 is a descendent of the .308 (.243 is just a necked down .308) and shoots a little flatter trajectory, that's all. But the .308 has more knockdown power.