What I get from these posts is that the recoil energy in foot pounds should equal the weight of the rifle if you want to get by without a muzzle brake
. Here is a list of cartridges that would likely go under 10 pounds recoil:
Perhaps the numbers I saw for he 6.5x55 and .257 Roberts are for the lower velocity factory loads. So, basically it looks like any of those listed above, plus other equivalents not listed and any common deer cartridge that can safely be loaded down to ten pounds of recoil energy.
Then there are muzzle brakes
, but I couldn't find exact figures for those.