Accuracy depends on rifle quality and ammo.
I used to shoot "Siluetas Metalicas" here in México. We shoot stell pigeons at 150 meters, so accuracy and quality of ammo are special factors. ELEY TENEX is the best I know, and ANSCHUTZ the most used rifles by competitors.
I own two Anschutz and I'm more than pleased with their accuracy, the triger is important, they have excellent trigers.
Other excellent rifles are BRNO, Walther, Winchester 52.
I tried a new CZ 22 bolt action last week, it has a sintetic bleck stock and is Stainless, is not expensive, but I don't know if it's available in the USA.