Yeah Wonders are culture specific in the first two eras. It goes like this(kind of complicated) :
Aztecs, Mayans, Toltecs, Incans, Moche: Mesoamerican Culture Group: Builds the temple wonders
European Culture Group: Builds most of the original Civilization wonders, except for the Art of War, Great Wall, Pyramids, Great Lighthouse and Great Libruary.
Asian Culture Group: Builds Art of War, Great Wall, all the wonders from the Japanese Conquest, and some new ones Ogedai made, as well as a few from other creators.
Middle East Culture Group: Consists of Babylon and the Ottomons: Builds Petra, Gates of Istar, and the Hanging Gardens.
Alexander's Influence Group: Egypt and Greece: Can build Great Lighthouse and Great Libruary
Egyptian/African Group: Egypt, Nubia, Mali, Zulu, Ethiopia, Maasai: Can build Pyramids, the Sphinx, Black Pyramids(Pyramids of Nubia). And I'm going to add soon Axum Obelisk.
I plan on adding abunch of wonders for India, and spliting off the Southeast Asian civs to their own group(Khmer, Thai)..