Anachronisms can be found in Plato’s Atlantis narrative depending on the timeframe which is ascribed to the story. Literalists generally accept the date provided by the priests of Sais for the Atlantean War, namely 9600 BC. This, however, conflicts with many of the details recorded by Solon and Plato, neither of whom would have had any knowledge of such a remote period.
Perhaps the most anachronistic reference is to horse-racing and chariots, when you consider that the best evidence that we have, places the domestication of the horse around 4500 BC(a) , which along with the first crude wheels developed around 3500 BC(b) and not long afterwards the earliest chariots, is a very very long way from 9600 BC.
There are other details in the narrative that also conflict with a literal acceptance of 9600 BC, whereas all the facts can fit comfortably into a Bronze Age setting.