I've had a bunch of 22 magnums over the years,the only ones that weren't reliable were the semi-autos.
Bolt action's will be more accurate,but the Lever actions aren't far behind.You can still find some nice used Marlin 57M and Winchester 255 short throw lever actions,and both are great guns.Henry makes a 22 magnum Lever action,and although they are pricey now,the Winchester 9422M is a great gun.
Marlin,Savage,andCZ-USA all have great bolt action rifles.I have a LH Savage 93,and love it.
I wanted to get one with a heavy barrel,but can't get one in LH.So,I'm going to put a Green Mountain-Ruger 77/22mag heavy barrel on it at some point.I've had the barrel setting around for a while,but just need to get it done.
Erma Werke EG-73 (German copy of the Winchester 9422M) Bottom rifle in picture-