You'll get more answers if you post in the Rimfire section.
Broadly speaking accuracy = bolt action.
Just look at the folks who make the smallest holes, the benchrest community.
Centerfire or rimfire, it's always bolt action.
An Anshutz bolt action is a great choice, though I know you are thinking the semi auto.
It's always fun to have a reasonably accurate semi-auto 22, even if it doesn't compete with a bolt action. Everyone needs a 10/22 or similar semi-auto. Get a bolt action and semi-auto eventually, you will enjoy having them.