Reddit reviews Handbook to Life in Ancient Mesopotamia

Handbook to Life in Ancient Mesopotamia by Stephen Bertman I found to be a good and pretty detailed introduction to the subject. Definitely on the textbook side, and can be a little Judeo-Christian centric (not in what is covered, but in cultural viewpoint of the author) but overall I found quite detailed and reasonably approachable.

There are other books along the same lines. Some going more for a high school or home school level where this one I think is more undergrad college overview.