Yes, please tell us about the "mission" you will call upon the rifle to perform. It's well within the capabilities of the 308 to do about 85% of all the things we'd want a rifle to do
If you are going to be shooting game at longer ranges, the 308 is ok, but not as good as a 270. If the game is open country elk you might want more power and flatter trajectory, like what you could get with one of the 300 magnums.
For moose and big bears, a 375H&H is about as good as you can get.
If however you want to shoot mostly prairie dogs and paper at 400 yards and less, the 308 is probably more then you’d want. A 222 or 223 is a better choice.
If only small game and plinking are going to be the main use, there’s nothing that beats a good 22 Rim Fire.
Speaking strictly for myself, I have to say that for shooting for fun and relaxation, the very best rifle ever made is a nice handmade flintlock, 32 to 45 caliber
So please let us know what you have in mind to use the rifle for.