Yes, Greece has a Prime Minister whom is the head of government. Greece also has a President whom is the head of state.
Olga Kefalogianni is the Minister of Tourism for Greece.
Gikas Chardouvelis is the Minister of Finance for Greece.
Argyris Dinopoulos is the Minister of Interior for Greece.
Mavroudis Voridis is the Minister of Health for Greece.
Dimitrios Avramopoulos is the Minister of National Defense for Greece.
Evangelos Venizelos is the Deputy Prime Minister for Greece.
Evangelos Venizelos is the Minister of Foreign Affairs for Greece.
Maria Kollia-Tsaroucha is the Deputy 'Minister (official title of the minister) of Macedonia-Thrace' for Greece.
Kostas Karamanlis (Κώστας Καραμανλής) is the prime minister of Greece today. The leader of Greece is her Prime Minister: Constantine Caramanlis.
The current President of Greece is Karolos Papoulias The current Prime Minister is Kostas Karamanliss
Sometimes it is important to contact the Prime Ministers of countries. The email for the Prime Minister of Greece is mail@primeminister.gr.