8mm Mauser or 8x57 JS or 8x57 IS is what you need. 8mm Mauser made by American companies will only be loaded to approximate a Winchester 30-30. 8x57 JS or IS from European companies will be full power.
8 x57 S will work, but poorly (due to its bullets being a tad small for your bore). 8mm Remington Magnum, 8mm-06, 325 WSM will not fit.