The Ancient Near East: History, Socie… by Liverani, Mario Paperback / softback
You will find that this textbook uses real data sets for exercises.
The Ancient Near East: History, Society and Economy by Mario Liverani: New
A nice touch in this textbook is the timeline of major discoveries in the field.
The Ancient Near East: History, Society and Economy – Paperback – GOOD
A nice touch with this unbranded textbook is the list of further reading at the end.