6.5cm or prc, 7-08, 280r, 260r, 284w, 6.5-284, 25-06, 308, 30-06, 270w, 243, the list goes on and on and on--most important factors would be actual distance (you said 200+, how far is +) good shot placement and shooter capability--most any centerfire cartridge is capable out to 3-400y
My 12yo daughter is just starting on hunting this year-- shes a little recoil sensitive she shoots a braked 6.5cm--the rifle is capable of 600yard kills, but I can honestly say she is not --I'm realistic and limit her to 150-200 yards depending on weather conditions---some young shooters are much more advanced with more practice than her