Definitely a whole bunch out there, depending on how much you want to spend, and whether you want new or used.
CPA makes a reproduction of the Stevens 44 1/2 in any caliber, and their .22 is extremely accurate. It can also be purchased with a centerfire block, and barrels to convert.
Of course the old 44 Stevens actions and guns are still easy to find, and a used one is reasonable, and accurate, if they are in good shape!
Ballard Rifle Co builds the Ballard Gallery #3 in .22 rimfire, or 3F for target shooting. Either will give you super accuracy.
This is my Stevens 44 in .22 caliber. It was a bit over $500, without the scope.