If you can find one get a HK Model 300.They were a semi auto in 22 mag.They are nail drivers.Unfortunately these haven't been import in some years.In turn are bringing premium prices.Another fine BA 22mag is the Savage Anschultz Model 164M. Like mentioned both of these are fairly expensive rifles.Plus finding them might not be the easiest.

For a easy to find rifle I would go with the Ruger M77/22. Great little rifles. In a pump gun the Remington Model 572.I'm not much on Lever Actions. Though I would take the Marlin L.A. over a Winchester 94/22M.

Ruger Redhawk