Look at the Martini Cadet customs, of which there are legion. They made up into nice .25-20s, .218 Bees, .357 Magnums and a host of other small, low recoil cartridges. Some were also chambered for small rimless cartridges, like the .222 or .223.

I've owned more than a dozen (still have a number of them) and they are just fun guns to play with. Stay away from those with original barrels and chambered for .32-20. The .310 Cadet uses a heeled bullet of .321 or so diameter, the .32-20 a .312-314 diameter bullet. Accuracy is wanting, to say the least when you fire a .32-20 in a .310 cadet barrel.