- January 1: OTE begins offering automated services to subscribers; weather and on duty hospital information.
- January 9: The Greek government officially announces that 4,000 Greeks were forced to leave Istanbul during 1964 - the year of the Cyprus crisis.
- January 22: Aliki Vougiouklaki marries Dimitris Papamichail.
- January 27: PAOK are crushed by Olympiakos 0-4 at Toumba thanks to goals by Botinos, Gioutsos, Aghanian and Giorgos Sideris. Eleven years later (January 4, 1976) PAOK will take their revenge at Karaiskaki Stadium (Olympiakos-PAOK 0-4)
- April 11: Dervis Ali Kavazoglou and Kostas Misiaoulis, both members of left wing AKEL party, are shot to death in Cyprus by TMT terrorists.
- May 9: After 1,088 scoreless minutes, Panathinaikos goalkeeper, Takis Economopoulos, finally concedes a goal. The last time he had been scored against was January 17, 1965.
- May 12: AEK draw 5-time European Champions Real Madrid 3-3 in a friendly before 29,000 fans. Mimis Papaioannou (2) and Kostas Papageorgiou score for the Greek side.
- July 5: Maria Callas appears for the last time in an opera, at Covent Garden in London, in "Tosca" directed by Franco Zefirelli.
- July 10: 40-year old, Ekaterini Dimitrea, is executed for murdering her mother, her brother, her aunt and her 5-year old nephew.
- July 15: PM Georgios Papandreou's government is brought down by King Constantine II.
- July 21: Student Sotiris Petroulas is killed during a pro-Papandreou protest in Athens.
- August 20: Elias Tsirimokos is asked to form a government after Georgios Athanasiadis-Novas fails to get a vote of confidence in Parliament.
- September 17: Stephanos Stephanopoulos is asked to form a government after Elias Tsirimokos fails to get a vote of confidence in Parliament.
- November 3: AEK defeat World Champions Inter 2-1. AEK's goals were scored by Andreas Stamatiadis and Kostas Nikolaidis.
- November 10: Panathinaikos draw 0-0 with Ferencvaros, in Budapest, for the Champions' Cup. The away draw was considered a great result as Ferencvaros were very powerful at the time.
- November 17: Panathinaikos lose 3-1 to Ferencvaros, at home, and are eliminated from the Champions' Cup. The disappointing loss led to dissension and infighting within the Greek squad.
- December 7: Ecumenical Patriarch Athenagoras and Pope Paul VI agreed to a revocation of the mutual excommunication decrees of 1054; this historic event was accomplished through simultaneous services in St. Peter's Basilica in Rome and the patriarchal church in Constantinople.
- December 9: PM Stephanos Stephanopoulos announces the creation of the Liberal Democratic Centre party.
- March 13: Aris Karasavvidis, footballer
- March 29: Voula Patoulidou, athlete
- March 29: Foto Strakosha, footballer