Not to discourage further answers or discussion, but from /r/askhistorians FAQ:
The native americans and several other cultures did not experience the same technological advancements as europe. What has caused this diffrence? (/u/snickeringshadow's 2-part answer here is really fantastic)
Why didn't Native Americans advance nearly as quickly as Europe?
What about the Mali, Ghana, and Songhai empires? I don't remember much about the great Caliphates, but the Abbasid's invented hospitals.