Solutions to Google practice:

  Long. & Lat. POLIS NAME COUNTRY PUBLIC BUILDINGS
1 37º38’16.46’’ N - 21º37’46.70’’ E
Olympia
Greece
Stadium, Temples, Palestra, Baths.
2 37º57’27.59’’ N - 27º20’32.04’’ E
Ephessus
Turkey
Theatre, Odeon , Temples, Palestra, Agora, Stadium, Old harbour.
3 37º58’17.41’’ N - 23º43’35.61’’ E
Athens
Greece
Theatre, Temples, Acropolis (Parthenon), Agora .
4 40º45’03.30’’ N - 14º29’18.10’’ E
Pompei
Italy
Amphitheatre, Theatre, Odeon, Temples, Forum, Palestra, Villas, Baths.
5 41º45’15.50’’ N - 12º17’18.23’’ E
Ostia
Italy
Theatre, Harbour, Villas.
6 41º53’24.27’’ N - 12º29’16.62’’ E
Rome
Italy
Amphitheatre, Temples, Forum, Baths, Stadium, Circus, Palaces, Mausoleums.
7 37º26’30.45’’ N - 6º02’40.64’’ W
Itálica
Spain
Amphitheatre, Theatre, Temples.
8 38º54’57.34’’ N - 6º20’16.55’’ W
Mérida
Spain
Amphitheatre, Theatre, Circus.
9 36º51’01.72’’ N - 10º19’43.67’’ E
Carthague
Tunisia
Amphitheatre, Theatre, Baths, Odeon, Punic harbour.
10 32º16’52.48’’ N - 35º53’29.05’’ E
Jarash
Jordan
Theatre, Odeon, Temples, Baths, Stadium, Forum.

I'm sure you can spot more buildings than I do!