I have hunted in the past with an 1895 Krag (.30 US), a Mosin M38, a Yugo 24/47, and an SKS.
If you want C&R but not necessarily 'mil-surp', I have used quite a few commercial shotguns, lever actions, and a couple bolt actions that are now C&R eligible.
And, of course, the good ole SP-1 is now in the C&R category. Many a jack rabbit was eliminated with the SP-1.
This year, I intend to use one or more of the 'surps - a different 24/47, a Yugo M48, maybe a Jap T99 (if I can get it put together), and/or maybe ... maybe a 1916 Spanish Mauser (7x57). The Spaniard doesn't seem to be much of a shooter, so I'd have to know that I had good short-range opportunities.