Originally Posted by
kjn
Largely what Gaelforce said. They need some form of cults around the Olympians (with Hestia but arguably without Dionysos) and at least Persephone. Libraries, schools, and some form of academy centered around discussion. Artisans, farmers, artists, soldiers: I imagine the amazons put great focus on being able to master many different forms of skills and learning. Some form of hospital. Basically, every public building will likely be dedicated to one or more gods, eg the hospital to Apollo, the academy to Athena, and so on.
Small shrines in just about every building, and arguably at least one large temple for communal worship, probably with Aphrodite and Athena featured prominently. They likely have some form of Oracle somewhere (likely of Dione, ie Rhea or Gaia), and an observatory of the stars.
You also need some form of government structure outside of queen Hippolyta, likely some form of council of advisors and some form of judicial system.
I'm not sure how the Magic Sphere should be handled.
ETA: Oh! How about Themyscira being somewhat decoupled from not only space (in that it will change geographic location from time to time) but also from time, meaning it will have picked up a nice variety of prehistoric animals. That can also easily explain why it isn't possible to reach Themyscira at all times.