| 73291 | June 27 | Event | 1941 – German troops capture the city of Białystok during Operation Barbarossa. |
| 73292 | June 27 | Event | 1946 – In the Canadian Citizenship Act, the Parliament of Canada establishes the definition of Canadian citizenship. |
| 73293 | June 27 | Event | 1950 – The United States decides to send troops to fight in the Korean War. |
| 73294 | June 27 | Event | 1952 – Guatemala passes Decree 900, ordering the redistribution of uncultivated land. |
| 73295 | June 27 | Event | 1954 – The Obninsk Nuclear Power Plant, the Soviet Union's first nuclear power station, opens in Obninsk, near Moscow. |
| 73296 | June 27 | Event | 1954 – The 1954 FIFA World Cup quarterfinal match between Hungary and Brazil, highly anticipated to be exciting, instead turns violent, with three players ejected and further fighting continuing after the game. |
| 73297 | June 27 | Event | 1957 – Hurricane Audrey makes landfall near the Texas–Louisiana border, killing over 400 people, mainly in and around Cameron, Louisiana. |
| 73298 | June 27 | Event | 1971 – After only three years in business, rock promoter Bill Graham closes the Fillmore East in New York, New York, the "Church of Rock and Roll". |
| 73299 | June 27 | Event | 1973 – The President of Uruguay Juan María Bordaberry dissolves Parliament and establishes a dictatorship. |
| 73300 | June 27 | Event | 1974 – U.S. president Richard Nixon visits the Soviet Union. |
| 73301 | June 27 | Event | 1976 – Air France Flight 139 (Tel Aviv-Athens-Paris) is hijacked en route to Paris by the PLO and redirected to Entebbe, Uganda. |
| 73302 | June 27 | Event | 1977 – France grants independence to Djibouti. |
| 73303 | June 27 | Event | 1980 – Italian Aerolinee Itavia Flight 870 mysteriously explodes in mid air while en route from Bologna to Palermo, killing all 81 on board. Also known in Italy as the Ustica disaster |
| 73304 | June 27 | Event | 1981 – The Central Committee of the Communist Party of China issues its "Resolution on Certain Questions in the History of Our Party Since the Founding of the People's Republic of China", laying the blame for the Cultural Revolution on Mao Zedong. |
| 73305 | June 27 | Event | 1982 – Space Shuttle Columbia launched from the Kennedy Space Center on the final research and development flight mission, STS-4. |
| 73306 | June 27 | Event | 1985 – U.S. Route 66 is officially removed from the United States Highway System. |
| 73307 | June 27 | Event | 1988 – Gare de Lyon rail accident In Paris a train collides with a stationary train killing 56 people. |
| 73308 | June 27 | Event | 1991 – Slovenia, after declaring independence two days before is invaded by Yugoslav troops, tanks, and aircraft starting the Ten-Day War. |
| 73309 | June 27 | Event | 2007 – Tony Blair resigns as British Prime Minister, a position he had held since 1997. |
| 73310 | June 27 | Event | 2007 – The Brazilian Military Police invades the favelas of Complexo do Alemão in an episode which is remembered as the Complexo do Alemão massacre. |
| 73311 | June 27 | Event | 2008 – In a highly scrutizined election President of Zimbabwe Robert Mugabe is re-elected in a landslide after his opponent Morgan Tsvangirai had withdrawn a week earlier, citing violence against his party's supporters. |
| 73312 | June 27 | Event | 2013 – NASA launches the Interface Region Imaging Spectrograph, a space probe to observe the Sun. |
| 73313 | June 27 | Event | 2014 – At least fourteen people are killed when a Gas Authority of India Limited pipeline explodes in the East Godavari district of Andhra Pradesh, India. |
| 73314 | June 27 | Event | 2015 – A midair explosion from flammable powder at a recreational water park in Taiwan injures at least 510 people with about 183 in serious condition in intensive care. |
| 73315 | June 27 | Birth | 1040 – Ladislaus I of Hungary (d. 1095) |
| 73316 | June 27 | Birth | 1350 – Manuel II Palaiologos, Byzantine emperor (d. 1425) |
| 73317 | June 27 | Birth | 1462 – Louis XII of France (d. 1515) |
| 73318 | June 27 | Birth | 1550 – Charles IX of France (d. 1574) |
| 73319 | June 27 | Birth | 1696 – William Pepperrell, American merchant and soldier (d. 1759) |
| 73320 | June 27 | Birth | 1717 – Louis-Guillaume Le Monnier, French botanist and physicist (d. 1799) |