This would make a great topic for a research project but as far as I am aware, a comprehensive worldwide analysis has not yet been done.
I can only provide a brief sketch with references for further reading:
~ 1500 – 1000 B.C. - Egypt, Greece, Mesopotamia
For more on Greece I recommend The Awakening of the Greek Historical Spirit
by Chester Starr.
~1200 B.C. - China
Michael Carr has documented evidence that the transition occurred in China roughly contemporaneously with Greece. See "The Shi ‘Corpse/Personator’ Ceremony in Early China" in Reflections on the Dawn of Consciousness
~ 500 - 1000 ? - Americas
Much more research needs to be done here, but evidence - the transition occurred more than a millennium later in the Americas. Brian McVeigh will be discussing this as part of a new book he is working on.
~ 1500 ? - Isolated locations such as Easter Island
See Brian J. McVeigh - "Julian Jaynes and Neurotheology
This will be touched on in McVeigh's forthcoming book as well.
~ 1800 - 1900+ - Isolated tribes in Africa, the Amazon, Andaman and Nicobar Islands, and Papua, New Guinea
For more on the evidence for bicameralism in tribes see Primitive Mentality
by Lucien Levy-Bruhl, The Julian Jaynes Collection
, and the "The Mentality of Pre-Literate and Pre-Modern Peoples" section of this forum.