I've done multiple deer/groundhogs with .357 Sig (best bullet 125 Gold Dot), .40 S&W (best bullet 165 Sierra JHC), & .45 ACP (best bullet by far 200 gr. Horn. XTP).
I've used lead bullets in all these on deer. Not very pleased with results, except .45 200 gr. H&G was fairly good.
Most bullets in the .40 were pretty poor, especially Gold Dot and XTP.
Not a lot of .357 choices. Leads were poor. Gold Dots were fair. Never tried Sierra JHCs. Gotta get close with the Sig for any kind of decent results.