You can't generalise about ancient Greeks like that. Every polis (city state) had its own constitution, and they were more radically different than any we have

You can't generalise about ancient Greeks like that. Every polis (city state) had its own constitution, and they were more radically different than any we have now. There were some poleis which used sortition, yes, but others had something more recognisable to our voting system. And of course there were the Spartans: https://en.wikipedia.org/wiki/Spartan_Constitution https://en.wikipedia.org/wiki/Spartan_Constitution.