A massive effort that's still easy to read for the nonspecialist...though I'm concurrently listening to Mike Duncan's peerless History of Rome podcast, so I have a little context for the subject. I'm still not sure why the author ended with Hadrian — something about his unique "classicizing" taste — but he had to end somewhere, and there are worse places to conclude than the Roman Empire at its height. His decision to follow a chronological narrative punctuated with chapters on overarching political, economic, and social topics provides a complete picture of the classical age as Fox defines it. (I don't understand what he means by reading with, not against his source material, but it wasn't an impediment.)
Classical Greece steals the show, and not just because of Athens' indispensable contribution to Western intellectual life. To head off dictatorship and perhaps to outmaneuver his aristocratic opponents, Cleisthenes initiated the most democratic constitution the world had heretofore seen...at least, for free male citizens. (Rome, by contrast, had a messy, gradual evolution toward greater political participation that never reached democracy.) Fox insists that the Athenian Empire wasn't as burdensome to its lesser members as we might think, and that the Greek poleis, contentious as though they were, didn't collapse into decadence so much as they were over-powered by Macedon.
Ironically, Rome isn't as impressive. Its massive growth, largely at the expense of Carthage and the Hellenistic kingdoms, usually came out of the base motive of greed. The Senate was eventually thrown open to wealthy non-nobles, but it was ultimately sidelined as strongmen fought it out for control; despite symbolic concessions by emperors (e.g., in the beginning, they referred to themselves as "First Citizen," to maintain a republican veneer), it became increasingly irrelevant in the age of imperium. All of Fox's protagonists are flawed, but I felt that his Roman notables were especially so: e.g., even the great orator and republican Cicero comes across as vain and self-deluding. And the less said about the emperors, particularly the Julio-Claudians Gaius (a.k.a. Caligula), Claudius, and Nero , the better. Toward the end, Fox makes an interesting comparison between pagan and Christian values...interesting, because the two, so different in many ways, would somehow amalgamate in the Middle Ages. But as for culture in general, Rome's seems to be pretty weak sauce compared to classical Greece. The Greek cities of the east never assimilated into Latin, but Rome was constantly importing Greek knowledge, art, norms, gods, even people.
To make sense of it all, the author focuses upon the changing definitions of freedom, justice, and luxury. Spoiler alert: luxury wins, and periodic attempts to rein it in, as during Augustus' "family values" policy or Vespasian's preference for simple living, came to nothing. As for freedom and justice, they declined from their Athenian heights to subservience under the rule of one man, despite fawning rhetoric to the contrary. If we go strictly by Fox's account, it's hard to see much value in the contribution of Rome to Western civilization...maybe its law code and efficient city planning, but it's not a great example for much else. Are we missing something here?