I have a .300 Win Mag and subsequently have little use for a .338. Hard to imagine what you couldn't kill in North America with this rifle pushing a 200 grain Partition or 180 A-Frame. But going up from a 30/06, the .338 would be a good choice. If I need something bigger, I think I would skip the .375 and go all the way up toa .416 Rem Mag.