I don’t feel most people will select a large caliber belted magnums, for use. The ammo price alone is a show stopper.
You would be surprised on how little damage a 375 H&H Magnum would cause on a deer.
.35 calibers or larger: Here is a good list of choices, but none are primitive to me.
357 Magnum, 357 Maximum, 357 Herret, 35 Remington, 356 Winchester, 358 Winchester, 35 Whelen, 9.3 x 62 Mauser, 375 Winchester, 38-55 (Ballard) Winchester, 375 JDJ, 405 Winchester, 44-40 Winchester, 44 Special, 44 Magnum, 444 Marlin, 45 Colt, 454 Casull, 460 S&W Magnum, 450 Marlin or 45-70 Govt just to name a few.
yooper77