Gentlemen, the 375 H&H rifle is a "ONE RIFLE FOR THE WORLD" type of invention. The old 1912 three six bits, with proper placement and a quality bullet, will kill anything that walks, crawls, or flies. However, the 375 H&H is NOT a big bore, it is a medium bore, and is minimum in most countries for the big five larger than the Leopard. It is one of the all time best choices for the big cats in Africa, and India. It is adequate for all the animals in the dangerous group in the world and is probably the most suggested caliber for the client hunter in Africa for most things up to and including Cape Buffalo. I will say here and now, the only "ONE SHOT KILLS" I have ever had on cape buffalo have been with the 375 H&H, paired with a 300 gr Nosler Partition bullet, when the brain, or spine was not hit. All others have taken at least three shots regardless of caliber or bullet type, again when the brain was not hit!
Is the 375 H&H my first choice for Buffalo hunting? Absolutely not, would I hesitate to shoot buffalo with the 375 H&H, again absolutely not.
The caliber is light for buffalo, and lighter yet for elephant, and My choice would be something in the .400 class on up to the 500NE, preferably in a good double rifle.
The old rag that says the client hunter is always backed up by a PH who usually has a better chambering for when the crap hits the fan! I do not agree with that line of thinking. When things go South, who made the rule that says the PH isn't going to be the one hit first, leaving you to pull his nuts out of the fire. It has happened more times than one, I assure you. When taking on dangerous game one needs to be prepared to defend himself, and the PH as well!
There is a reason why this game is called dangerous, but more than that, they are unpredictable at times. To me this indicates the need for more than the minimum required for that purpose.
The sky is not falling, and if you want to hunt with a 375 H&H because of it's great versatility, then do it, I have on many occasions.
I have three rifles chambered for the 375 H&H cartridge, and that used to be my back up rifle for my bigger rifle, and served very well for plains game, yet was legal for the big stuff if my big rifle broke. All my 375s are fitted with quality iron sights, and scopes mounted in quality quick detach mounts that return to zero absolutely. No big game hunting rifle should ever be slick barreled with no iron sights. If something happens to that scope the irons can finish the stalk, or the whole hunt if need be.
.....................Good luck, and good hunting with your 375 H&H