I have lots of .22s and have had even more. Semi-autos in stock are two Browning SA22, and a Ruger 10-22 Sporter (unfortunately a birch stock). The newer of the Belgium Brownings out shoots the other two. It is equipped with a cantilever mount and a Burris Mini-4X PA scope.
I'm not sure what your goals are, so I throw this out as a freebie. I have two Marlin 39A Mounties that shoot right up there with the two Anschutz 54 Sporters that I have owned. The scoped one, from '67, does a 1/4" @50 with Super-X ammo. I can't hold the open sighted one that close, but it might do as well scoped. I also have a Remington 510 single shot that I found in my FIL's storage shed after his passing. There is only about 25 cents worth of blue left on the rifle, but it shoots decent ammo a half inch at fifty with open sights. Then I ran into a nice Remington 511 bolt repeater for $40 in a pawn shop a few years ago. This is the exact same barreled action as the Junior Sporter sans the target stock and the Redfield receiver sight. Scoped with a 3-9AO, it is a quarter inch rifle at 50. Since Anchutz is now available without the rollover stock, which I detest, I would buy another whatever they call the 54 action these days. With my $40 pawn shop find, there is no reason to spend the money.
I agree that everyone needs a semi auto .22. gnoahh is right about ammo consumption. When I was a kid, a brick of Super-X was in the $4.50-$5.00 range. I could go through one of those on a Saturday afternoon with my Western Field 87 (made by Stevens).
Good luck,
Jack