I like your answer Corvidius. I didn't know about what you said about the 19th century, and you could make the case that Khufu was more great considering that the Great Pyramid at Giza basically represents Egypt itself.
May I ask why you say Thutmose III should be called great? iirc the Egyptian Empire had the most territory under him. Is that the reason?
Well I doubt we would even have a discussion as to which pharaoh could be termed "great" if it wasn't for the French deciding that Ramesses II was "great". Very few monarchs or leaders get that epithet, not a single Roman, even though surely Caesar and Augustus, at the least, were deserving.
Thutmosis III is the foremost Egyptian military leader we have a reasonable account of, but he does not get called "great" as his exploits were, in comparison to Alexander, tiny, and arguably less important than Alfred the Great, who proved his worth in the face of adversity. So while I would say he was more deserving than Ramesses II of being called "great", I don't think we have enough information to decide on him or anybody else. Amunhotep III, without a list of battle honours, could also be a contender for "great", the Louis XIV of his day in his opulence and splendour, and the name
Sun King is far more applicable to Amunhotep III than Louis XIV. I also think that this epithet is more for the people of the time, or not long after, to bestow, not us thousands of years removed from them. For all we know, Thutmosis III may have been a Hitler, or maybe it was unnamed generals who were responsible for his exploits and their names never mentioned. I doubt either case was the truth, but we don't know, so he, and many others are not "great" even if they would have met our modern day criteria. Personally, I would like to see a
Thutmosis the Great and an
Amunhotep the Great as it seems perverse that the great kings of the 18th Dynasty get passed over for the man who later usurped their monuments.
The Great Pyramid was a great achievement in it's concept, it's design, it's construction and, as we learn more and more, the logistics that made it possible, yet Khufu is not termed "great". Possibly he really was a hard task master, the Hardrada of his day, maybe he became hated, maybe not. We just don't know. However, I would contend that not just the Great Pyramid, but the Giza complex is so extraordinary that whoever was ultimately responsible at the highest level, and this is Khufu from what we know, is deserving of being "great", but then the Egyptians did more than that, they made these people gods, Imhotep for example, and surely being a god is better than being "great"