22 hornet
30-06
45-70
Reloading, the hornet can do what the LR can do as well as longer shots at slightly larger game, much as other 22 centerfires, with disadvantage of limited range.
30-06 needs no comment. There are a lot of other great cartridges that fit this nich also, most with a few more limitations.
45-70 in either a modern Marlin or a Ruger #1, will handle anything you cross.