This is a weird book to review as it's not a standard, single-topic narrative history. Rather, each chapter focuses on a different slice of the world that makes sense to narrow in on topically, with the whole group of chapters slowly moving forward in time. So, for example, every fifth-ish chapter will revisit what's happened in, say, Korea since the last chapter on that area.
Over the course of the whole book, you get a pretty damned good overview of everything that happened of note in every major civilization region across the globe over the couple hundred years this book covers (the same basic idea holds for the previous entries in the series as well). There's an almost unavoidable weighting of text in favor of European civilizations, just due to the simple fact that there's more written source material to work with for them (Bauer made clear in the intro to the first book of the series that she had to limit herself to civilizations that left written records; there's no room in her scope for archaeology or trying to interpret, say, whatever the hell the Harappans were up to in India, or what the bulk of pre-Colombian America was doing). That said, she obviously cares to give as much weight to non-European civilizations as the material can allow for, and does that well.
Even as carefully as written a book such as this must, due to the vast scope of the topic being covered, be a wide but shallow pool. Bauer presents a pretty amazing level of detail on each cultural area over time, but if you're looking for explosive new interpretations or thoughtful analysis of larger trends, you're not going to find it here.
I like this series best as an accompaniment to deeper books I'm reading at the time; like, if I want a wider context on what all of Europe or the world was like during the time period covered by, say, the Third Crusade, I can get that from Bauer's series.
So, for the well-read historian, the series will serve as a great refresher on areas the reader may be weaker on or have forgotten about. But it will work best for the novice; if you haven't cracked a history book since your college World History AP course, but are interested in catching up, this is the first series I'd point you to.