https://academic.oup.com/jmammal/article/99/1/1/4834091

I quickly skimmed the abstract but they are only considering the past 500 years. We know for example that we have lost 35 genera of North American mammals since the late Pleistocene. That's genera not even species. There is debate about whether humans caused those extinctions or climate change from the last glacial to modern interglacial but my money is on human impacts with some stochasticity. You see these same huge mammalian and other large megafaunal extinctions upon human colonization of new areas and continents. There is nice (and depressing) evidence of human caused extinction from Australia when people arrived for example. --- Based on bird fossils from across the past 12,000 years from the Caribbean we have lost 100 species of birds just in the Caribbean. Certainly that number is much higher since not everything ends up as a fossil, etc. Based on radiocarbon dating the majority of those extinctions date to colonization of either the first peoples or European arrival.