I use a 338/06 & it is a great cartridge for a reloader, also have a few 9.3x62 it is a very fine cartridge as well but more on the heavier bullets & game, 338/06 can nudge the 300Win in velocity .
The 338Win can again be loaded up to do almost anything, unfortunately not Africa wide DG legal (with suitable back up eg PH) I worked in a Commercial portable Buffalo abattoirs, doing a fair bit of shooting, we were at the start supplied with M70 338Win with 300gr Winchester factory ammo, killed all buffalo extremely well even with chest shots (we also had a Pet Food Chain where body shots were acceptable) as we had to brain shoot for human consumption the boss then supplied us with 30/06 & 308 using military ammo as cheaper less wear on us & well the bullet was meant to be in the brain any way theoretically !
in these early years ammunition & components for the 338Win were hard to acquire in the Outback & some of our ammo was amazingly loaded with necked down .358Norma Mag cases, also a fine cartridge with better bullets of today.