| 76553 | July 5 | Birth | 1718 – Francis Seymour-Conway, 1st Marquess of Hertford, English politician, Lord Lieutenant of Ireland (d. 1794) |
| 76554 | July 5 | Birth | 1745 – Carl Arnold Kortum, German physician and poet (d. 1824) |
| 76555 | July 5 | Birth | 1755 – Sarah Siddons, English actress (d. 1831) |
| 76556 | July 5 | Birth | 1780 – François Carlo Antommarchi, French physician (d. 1838) |
| 76557 | July 5 | Birth | 1793 – Pavel Pestel, Russian soldier (d. 1826) |
| 76558 | July 5 | Birth | 1794 – Sylvester Graham, American minister and activist (d. 1851) |
| 76559 | July 5 | Birth | 1801 – David Farragut, American admiral (d. 1870) |
| 76560 | July 5 | Birth | 1802 – Pavel Nakhimov, Russian admiral (d. 1855) |
| 76531 | July 5 | Event | 1996 – Dolly the sheep becomes the first mammal cloned from an adult cell. |
| 76532 | July 5 | Event | 1999 – Wolverhampton, England is hit by storms, including a tornado. The area is hit again with severe storms on August 1. |
| 76533 | July 5 | Event | 1999 – U.S. President Bill Clinton imposes trade and economic sanctions against the Taliban regime in Afghanistan. |
| 76534 | July 5 | Event | 2004 – The first Indonesian presidential election is held. |
| 76535 | July 5 | Event | 2006 – North Korea tests four short-range missiles, one medium-range missile and a long-range Taepodong-2. The long-range Taepodong-2 reportedly fails in mid-air over the Sea of Japan. |
| 76536 | July 5 | Event | 2009 – A series of violent riots break out in Ürümqi, the capital city of the Xinjiang Uyghur Autonomous Region in the People's Republic of China. |
| 76537 | July 5 | Event | 2009 – The largest hoard of Anglo-Saxon gold ever discovered, consisting of more than 1,500 items, is found near the village of Hammerwich, near Lichfield, in Staffordshire, England. |
| 76538 | July 5 | Event | 2012 – The Shard in London is inaugurated as the tallest building in Europe, with a height of 310 metres (1,020 ft). |
| 76539 | July 5 | Birth | 465 – Ahkal Mo' Naab' I, Mayan ruler (d. 524) |
| 76540 | July 5 | Birth | 980 – Mokjong of Goryeo (d. 1009) |
| 76541 | July 5 | Birth | 1029 – Al-Mustansir Billah, Egyptian Caliph (d. 1094) |
| 76542 | July 5 | Birth | 1321 – Joan of the Tower, Scottish wife of David II of Scotland (d. 1362) |
| 76543 | July 5 | Birth | 1466 – Giovanni Sforza, Italian lord (d. 1510) |
| 76544 | July 5 | Birth | 1547 – Garzia de' Medici, Tuscan son of Cosimo I de' Medici, Grand Duke of Tuscany (d. 1562) |
| 76545 | July 5 | Birth | 1549 – Francesco Maria del Monte, Italian cardinal and art collector (d. 1627) |
| 76546 | July 5 | Birth | 1554 – Elisabeth of Austria, Queen of France (d. 1592) |
| 76547 | July 5 | Birth | 1586 – Thomas Hooker, English-born founder of the Colony of Connecticut (d. 1647) |
| 76548 | July 5 | Birth | 1653 – Thomas Pitt, English businessman and politician (d. 1726) |
| 76549 | July 5 | Birth | 1670 – Countess Palatine Dorothea Sophie of Neuburg (d. 1748) |
| 76550 | July 5 | Birth | 1675 – Mary Walcott, American witness at the Salem witch trials (d. 1719) |
| 76551 | July 5 | Birth | 1709 – Étienne de Silhouette, French translator and politician, Controller-General of Finances (d. 1767) |
| 76552 | July 5 | Birth | 1717 – Peter III of Portugal (d. 1786) |