I suggest a good bolt action rifle like the BRNO ZKK 1990 m600 in 7x57 Mauser. This one would handle all of thelighter game species easily and quite handily do for the larger species of plains game if need be.
: Mine shoots very closey together with 120gr. Noslers BT's at 3,100fps through 140 Bondeds at 2,900fps to 160's Triple shocks at 2,680fps. - all within 2" at 100yards.