If I were to quibble at all about the map, I think a distinction can be made between a stadium / stadion and a hippodrome, the former for footraces, the latter for horse and chariot. Technically, I think it's a hippodrome in Istanbul (Byzantium) that is near the Blue Mosque. The stadium at Aphrodisias is so huge that I can imagine horses there, but it doesn't seem to have the starting posts or center spine as hippodromes would. For those who have traveled to Israel or Jordan, there are fine examples of hippodromes at Caesarea Maritima and Gerasa (where races are still held for tourists). Of course the most famous hippodromes is probably the Circus Maximus in Rome. (On a personal note, I have fulfilled one of my bucket list items of running at all four stadiums of the Panhellenic Games cycle: Olympia, Delphi, Isthmia, and Nemea.)
As for theaters, the one in Ephesus is one of the largest in the ancient world, capable of holding up to 25,000 spectators. The one in Aspendos is one of the best preserved. The one in Pergamum is the steepest. There is a full list of Roman theaters in Wikipedia. I suppose that can be someone's project to map all those along with the list of ancient Greek theaters!
