To really appreciate and understand the .308's accuracy abilities I think one needs to study its developement when it was known by the Army as the T-65 'experimental round.' The T-65 round was what the Army settled on when they finally found the case they wanted to propell a M1 Garand bullet at similar velocities - only in a 1/2 inch shorter package.
Further testing and experiementation discovered how great the round would become as a target and sniper cartridge.
And this is all before being introduced commercially as the .308 Winchester (from the 7.62X51 Nato) .....
And all the wildcatting that also resulted.
The really great .308 Winnie case was the basis for the .243 Winchester, .25 Souper, .260 Remy (Ken Waters developed a round similar known as the .263 Express, but when Reminton simiply put their name on Jim Carmichael's .260 Panther, Carmichael got the credit for deveopemnt.). Also derived from the .308 is the 7mm08 Remy (another wildcat that Green simply put thier name on), the .358 Winnie and now the .338 Federal. Necked to .277 caliber that round is very good, but like the "Souper" still an ill-legitimate wildcat.
Often the .308 case provides a case not unlike the 'standard Mauser case,' but in a more compact modern design.