When civilization started (and by that I mean agriculture, cities, literacy, etc.), it’s like people had to adjust to that for a while. (People aren’t designed to be farmers – it’s backbreaking hard work.) The Mesopotamians and Egyptians, who were some of the first on the scene, had cultures that stayed remarkably the same for much of their existence.
The Greeks, on the other hand, were thinkers. Their culture borrowed from those which had gone before, but theirs changed and evolved – you can see it in their art and philosophy. Close to the end of their cultural reign, they were doing some pretty amazing things – look up anything Archimedes invented, for example. They even had simple machines, like a device where setting a fire on an altar would open doors behind the altar, like a simple steam engine. Also, in a Greek shipwreck was found a pretty darn advanced ‘analog computer’ of gears and such that could tell where the main planets would be with great accuracy into the future. The Greeks, imho, seemed poised on the brink of an industrial revolution of sorts.
Then Rome came and squashed that innovative spirit. Rome wasn’t about innovation, it was about making everyone good vassals to Rome. They put the kibosh on things like that, and after Roman dominion ended, we had the Dark Ages. Things didn’t get back to what you might call “on track” until the Renaissance.
Once humans passed the threshold in the Paleolithic where they first realized that things like art and innovation were possible, progress has been in fits and starts in different places and different times – it’s not a smooth line upward. It’s often related to the political climate of the area (is innovation okay?) and resources (if they don’t have enough to feed themselves, they’re not going to spend time thinking of other stuff). If you want a more detailed answer, check out Guns, Germs and Steel by Jared Diamond. It’s pretty good, and this is a question that would take a book to answer properly. ;)