Of all the stuff in this thread, the cave painting stuff is the one that shocked me the most. Not the Eurocentricism, which is sadly all too common (especially on the net).
But the cave painting one was surprising. Why? Because, everything that has come to light recently in anthropology and genetics indicates strongly that modern Europeans have only a small fraction of European Hunter Gatherer/Cro-Magnon DNA. They were a dark skinned people, who from various reconstructions I have seen, bear a striking resemblance to Australian Aboriginals (but with blue eyes) who were overrun and almost totally replaced by lighter skinned Caucasian farmers from what is today Turkey and the Middle East. Some of their DNA does survive, however, since we know "Cheddar Man" (below left), an European Hunter-Gatherer from 8-10000 years ago (just as the Holocene was starting), has an ancestor in England today (below right).
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But that isn't even the end of it. These Middle Eastern farmers, were in turn invaded by steppe nomads who were most likely the famed PIE people (proto-Indo-Europeans). And this invasion, from everything I have read was pretty brutal. While modern Europeans still have a lot of Middle Eastern farmer DNA, it is almost all inherited only from the female line, and little to none from the male line. IOW, the men and boys were almost totally wiped out (sadly, much as with the fate of the European Hunter-Gatherers, we have seen this pattern around the world).
TL-DR version: citing cave paintings from a long vanished group of people from 20-60,000 years ago as "proof" of European "superiority" is ridiculous. And as Calbear and others have noted, some of the oldest ones may not even be Homo Sapiens at all.
A few detail, the coloring of Cheddar Man bust is a artistic choice, the genes for his dark skinned-ness could just as well result in Inuit degree of dark skin, and honestly it’s overwhelming likely that he simply was only as dark as a Inuit [1]. Next even if he was that degree of dark skinned he was still closely related to the other lighter skinned groups of Western Eurasians who his descendants intermixed with.
Of course none of this give some kind of innate and ancient genetic edge to the Europeans. The MENA region is pretty much the same population. While the vast majority of Eastern Eurasians and South Asians from a genetic point of view is very closely related to the Western Eurasians. Cultural the Western Eurasians were also pretty much the same civilization until the Germanic Iron Age. Any explanation for the rise of Europe which goes back before the 7th century makes little sense and any genetic explanation even less.
[1] as the dark skin is likely a result of diet rich in fish, shellfish and marine mammals much like the Inuits, while the inland hunter gatherer groups with a diet richer in land animals were lighter skinned.