Check out episodes 17-28, most of which I re-recorded and reuploaded recently.
New episodes on Early Dynastic Sumer coming soon.

40: Royal Tombs of Ur, 2600-2400 BCE (The death of Gilgamesh)

A podcast focusing on the Bronze Age in the Near East, from the development of agriculture during the Neolithic to the collapse of the Late Bronze Age world system at the end of the second millennium BCE and everything in between. Every episode also includes a look at a particular myth or ancient text.
Episodes 1, 17, and 31 are good places to start.