India: Bhārat or even Meluḫḫa (If one wants a radically different history)
China: Zhongguo, maybe T'ang
Mexico: Ēxcān Tlahtōlōyān or, if we were in a TL where the Maya dominated Mesoamerica, Mayaia (or something similar)
Peru (Or the Civilized Andes as a whole): Tawantinsuyu or if the Chinese came before the Inka, Chimor
Iraq: Akkad, Kienĝir, Babylonia
Australia: Tasmania
Egypt: Kemet
Nigeria: Oyo, Igboland, &c.
The Caribbean Sea: The Taíno Sea
Amazonia: Marajoara, Marajó
The Americas/New World: Anahuac
Africa: Tp Rsy
Sub-Saharan Africa: Punt
China: Zhongguo, maybe T'ang
Mexico: Ēxcān Tlahtōlōyān or, if we were in a TL where the Maya dominated Mesoamerica, Mayaia (or something similar)
Peru (Or the Civilized Andes as a whole): Tawantinsuyu or if the Chinese came before the Inka, Chimor
Iraq: Akkad, Kienĝir, Babylonia
Australia: Tasmania
Egypt: Kemet
Nigeria: Oyo, Igboland, &c.
The Caribbean Sea: The Taíno Sea
Amazonia: Marajoara, Marajó
The Americas/New World: Anahuac
Africa: Tp Rsy
Sub-Saharan Africa: Punt