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The first one was the Olmec, starting at 1500 BCE.
Maya started developing around 750 BCE.


Aztec and Inca both were pretty recent, but the Incas started their civilsation before the Aztecs (the former around 500, the latter around 1200 of Common Era).

Of course, the problem is the continuity of cultures:  none arose "out of nowhere", but rather were a change in the culture dominant before them
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