| 73621 | June 27 | Death | 2013 – Alain Mimoun, Algerian-French runner (b. 1921) |
| 73622 | June 27 | Death | 2013 – Bill Robertson, American businessman and politician (b. 1938) |
| 73623 | June 27 | Death | 2013 – Ian Scott, English-New Zealand painter (b. 1945) |
| 73624 | June 27 | Death | 2014 – Edmond Blanchard, Canadian jurist and politician (b. 1954) |
| 73625 | June 27 | Death | 2014 – Allen Grossman, American poet, critic, and academic (b. 1932) |
| 73626 | June 27 | Death | 2014 – Leslie Manigat, Haitian educator and politician, 43rd President of Haiti (b. 1930) |
| 73627 | June 27 | Death | 2014 – Rachid Solh, Lebanese politician, 48th Prime Minister of Lebanon (b. 1926) |
| 73628 | June 27 | Death | 2014 – Bobby Womack, American singer-songwriter (The Valentinos) (b. 1944) |
| 73629 | June 27 | Death | 2015 – Zvi Elpeleg, Polish-Israeli diplomat, author, and academic (b. 1926) |
| 73630 | June 27 | Death | 2015 – Chris Squire, English singer-songwriter and bass player (Yes, The Syn, Conspiracy, and XYZ) (b. 1948) |
| 73631 | June 27 | Holiday and observance | Christian feast day:Crescens, one of the Seventy DisciplesCyril of Alexandria (Coptic Church, Roman Catholic Church, Anglican Communion and Lutheran Church)Ladislaus I of HungaryOur Lady of Perpetual HelpJune 27 (Eastern Orthodox liturgics) |
| 73632 | June 27 | Holiday and observance | Canadian Multiculturalism Day (Canada) |
| 73633 | June 27 | Holiday and observance | Day of Turkmen Workers of Culture and Art (Turkmenistan) |
| 73634 | June 27 | Holiday and observance | Helen Keller Day (United States) |
| 73635 | June 27 | Holiday and observance | Independence Day, celebrates the independence of Djibouti from France in 1977. |
| 73636 | June 27 | Holiday and observance | Mixed Race Day (Brazil) |
| 73637 | June 27 | Holiday and observance | National HIV Testing Day (United States) |
| 73638 | June 27 | Holiday and observance | National PTSD Awareness Day (United States) |
| 73639 | June 27 | Holiday and observance | Seven Sleepers Day or Siebenschläfertag (Germany) |
| 73640 | June 27 | Holiday and observance | Unity Day (Tajikistan) |
| 73641 | June 28 | Event | 1098 – Fighters of the First Crusade defeat Kerbogha of Mosull. |
| 73642 | June 28 | Event | 1360 – Muhammed VI becomes the tenth Nasrid king of Granada after killing his brother-in-law Ismail II. |
| 73643 | June 28 | Event | 1461 – Edward IV is crowned King of England. |
| 73644 | June 28 | Event | 1519 – Charles V is elected Emperor of the Holy Roman Empire. |
| 73645 | June 28 | Event | 1635 – Guadeloupe becomes a French colony. |
| 73646 | June 28 | Event | 1651 – The Battle of Berestechko between Poland and Ukraine starts. |
| 73647 | June 28 | Event | 1709 – Peter the Great defeats Charles XII of Sweden at the Battle of Poltava |
| 73648 | June 28 | Event | 1745 – War of the Austrian Succession: A New England colonial army captures Louisbourg, New France, after a forty-seven-day siege (New Style). |
| 73649 | June 28 | Event | 1776 – The Battle of Sullivan's Island ends with the first decisive American victory in the American Revolutionary War leading to the commemoration of Carolina Day. |
| 73650 | June 28 | Event | 1776 – Thomas Hickey, Continental Army private and bodyguard to General George Washington, is hanged for mutiny and sedition. |