I have a Remington Model Seven in .308 and absolutely love it. Mine is older with the 18 1/2in barrel and it shoots better than I can. Is it long range competition accurate? No, but then again neither am I lol! I feel comfortable shooting it out to 300yards and while I'm sure it will perform at further distances, I know I'm not capable of any consistency out past 300 yards so I keep my shots under that and I've killed Mule deer, Black Bear and Elk with that little rifle.
I have many rifles in many calibers to choose from: .223, 25-06, .270, 5mm, 6mm, 7mm, 8mm 30 carbine, 7.62x39, 7.62x54, .303, 30-30, .444Marlin, 30-06, 300win mag, 300WSM, 300 Weatherby Mag, and 90% of the time I grab the .308 when I go hunt.
it's just a great all around cartridge.