- January 3: The 5-day work week is established for the public sector in Greece.
- January 16: MAT (Greek Riot Squad) Deputy Director, Pantelis Petrou, is assassinated in Pangrati by the Revolutionary Organization 17 November.
- February 3: Stelios Manolas debuts in the Alpha Ethniki in the match Kastoria - AEK 1-1. The AEK defender will end his career 18 years later.
- May 5: Constantine Karamanlis is elected President of Greece.
- May 6: Nikos Galis makes his debut with the Greek National Basketball Team in a game against Sweden (71-79)
- May 8: George Rallis is elected New Democracy party leader and Prime Minister, replacing Constantine Karamanlis who was elected President.
- May 26: Kastoria win the Greek Soccer Cup after beating Iraklis 5-2 in Nea Philadelphia Stadium (Tsironis 3, Simaioforidis and Dintsikos)
- June 3: Unidentified bombers destroy mega-stores Klaoudatos and Athene in Athens.
- June 9: Archbishop Iakovos receives the Presidential Medal of Freedom - the highest honour that the US bestowes on a civilian - from President Jimmy Carter.
- June 11: Greece participate for the first time in the final phase of a major football tournament. They lose 1-0 to Holland in their opening match of Euro 1980, after East German referee Prokop inexplicably awards the Dutch a penalty when forward Naninga charges and injures Greek keeper Vasilis Konstantinou.
- June 14: Greece lose to Czechoslovakia 3-1 in the finals of Euro 1980. Nikos Anastopoulos is the first Greek ever to score at a final tournament.
- June 17: Greece draw W. Germany 0-0 in the finals of Euro 1980.
- July 7: Unidentified bombers destroy mega-stores Lampropoulos in Piraeus and Dragonas in Athens.
- July 9: A powerful earthquake (6.5 on the Richter scale) strikes Almyros and the Volos area, destroying more than 5,000 buildings.
- July 22: Wrestler Stelios Migiakis wins gold at the Olympic Games of Moscow.
- July 31: Turkish diplomat Galip Osman is assassinated along with his daughter in Pangrati, Athens.
- August 9: 13 people die in the heatwave that strikes Greece.
- September 14: The Greek Ministry of Education announces the abolition of entrance exams from Primary into Secondary schools.
- September 18: Kleanthis Ierissiotis breaks the Greek record in the Hammer throw with 73.00m.
- October 15: Greece defeat Denmark 1-0 in Copenhagen thanks to a goal by Dinos Kouis. The man of the match is Greek goalkeeper Nikos Sarganis who preserves the victory and earns the nickname "phantom" from the Danish press.
- October 19: Greece returns to the military branch of NATO.
- November 2: An unofficial Greek record is established in the match between Aris FC and OFI as the players of the two clubs hit the woodwork a total of 8 times!
- November 4: The five day work week is established
- February 3: Giorgos Doupis, athlete (400m)
- February 9: Angelos Charisteas, footballer
- February 29: Michalis Mouroutsos, Tae Kwon Do athlete
- August 15: Michael Katsidis, Greek-Australian boxer.
- August 26: Manolis Papamakarios, basketball player
- February 8: Nikos Xylouris, Cretan singer.
- February 12: Georgia Vasiliadou, stage and screen actress
- February 24: Giorgos Andrianopoulos football player and Piraeus mayor.
- October 15: Apostolos Nikolaidis, former athlete and president of SEGAS and Panathinaikos.
- October 25: Nasos Botsis, owner and publisher of Apogevmatini and Acropolis newspapers