| 76831 | July 5 | Death | 2013 – Bud Asher, American lawyer and politician (b. 1925) |
| 76832 | July 5 | Death | 2013 – David Cargo, American politician, 22nd Governor of New Mexico (b. 1929) |
| 76833 | July 5 | Death | 2013 – James McCoubrey, Canadian-American super-centenarian (b. 1901) |
| 76834 | July 5 | Death | 2013 – Lambert Jackson Woodburne, South African admiral (b. 1939) |
| 76835 | July 5 | Death | 2014 – Sharifah Aini, Malaysian singer (b. 1953) |
| 76836 | July 5 | Death | 2014 – Rosemary Murphy, German-American actress (b. 1925) |
| 76837 | July 5 | Death | 2014 – Volodymyr Sabodan, Ukrainian metropolitan (b. 1935) |
| 76838 | July 5 | Death | 2014 – Hans-Ulrich Wehler, German historian and academic (b. 1931) |
| 76839 | July 5 | Death | 2014 – Brett Wiesner, American soccer player (b. 1983) |
| 76840 | July 5 | Death | 2015 – Archduchess Dorothea of Austria (b. 1920) |
| 76841 | July 5 | Death | 2015 – Uffe Haagerup, Danish mathematician and academic (b. 1949) |
| 76842 | July 5 | Death | 2015 – Sakari Momoi, Japanese super-centenarian (b. 1903) |
| 76843 | July 5 | Death | 2015 – Yoichiro Nambu, Japanese-American physicist and academic, Nobel Prize laureate (b. 1921) |
| 76844 | July 5 | Holiday and observance | Bloody Thursday (International Longshore and Warehouse Union) |
| 76845 | July 5 | Holiday and observance | Christian feast day:Anthony Maria Zaccaria, priest (d. 1539)Saints Cyril and MethodiusZoe of Rome (Roman Catholic Church)July 5 (Eastern Orthodox liturgics) |
| 76846 | July 5 | Holiday and observance | Tynwald Day, if July 5 is on a weekend, the holiday is the following Monday. (Isle of Man) |
| 76847 | July 5 | Holiday and observance | Arbor Day (New Zealand) |
| 76848 | July 5 | Holiday and observance | Armed Forces Day (Venezuela) |
| 76849 | July 5 | Holiday and observance | Constitution Day (Armenia) |
| 76850 | July 5 | Holiday and observance | Independence Day (Algeria), celebrating the independence of Algeria from France in 1962. |
| 76851 | July 5 | Holiday and observance | Independence Day, celebrating the independence of Cape Verde from Portugal in 1975. |
| 76852 | July 5 | Holiday and observance | Independence Day, celebrating the independence of Venezuela from Spain in 1811. |
| 76853 | July 5 | Holiday and observance | Emancipation Day, celebrating the emancipation of enslaved Africans in New York City in 1827. |
| 76854 | July 5 | Holiday and observance | Poplifugia (Ancient Rome) |
| 76855 | July 5 | Holiday and observance | X-Day (Church of the SubGenius) |
| 76856 | July 6 | Event | 371 BC – The Battle of Leuctra, where Epaminondas defeated Cleombrotus I, takes place |
| 76857 | July 6 | Event | 640 – Battle of Heliopolis: The Muslim Arab army under 'Amr ibn al-'As defeat the Byzantine forces near Heliopolis (Egypt). |
| 76858 | July 6 | Event | 1044 – The Battle of Ménfő between troops led by Emperor Henry III and Magyar forces led by Samuel Aba, King of Hungary, takes place. |
| 76859 | July 6 | Event | 1189 – Richard I "the Lionheart" accedes to the English throne. |
| 76860 | July 6 | Event | 1253 – Mindaugas is crowned King of Lithuania. |