Chamber, bore quality, and bedding all effect .22 accuracy. Most, if not all, target .22s have tight, short chambers that engrave the bullet when seated. Weight of the rifle can effect shooting stability. Quality of ammo is extremely important, and as the above poster mentioned Wolf, Ely, SK, and Lapua are all brands to try. None are cheap, but Wolf and SK may have the best accuracy/price ratio in most target guns. A good, light trigger aids in actual shooting. No matter how 'accurate' a rifle is, if you can't shoot it acccurately it doesn't matter. This is the function of a great trigger (and LOTS of practice).
When I retired a few years ago, I built a 'project' gun for backyard benchrest. I started with a Sako Finnfire action, and then put a Lilja barrel and a Jewell 2 oz. trigger on it (yes, the pull is 2 oz.!). With a 20 power Leupold scope, it shoots .25 inch groups (and often better) at 50 yards. Fun gun.