| 1771 | January 4 | Birth | 1991 – Stefan Nenadović, Montenegrin footballer |
| 1772 | January 4 | Birth | 1991 – Mikk Pinnonen, Estonian handball player |
| 1773 | January 4 | Birth | 1991 – Olivia Tennet, New Zealand actress and dancer |
| 1774 | January 4 | Birth | 1993 – Martin Paasoja, Estonian basketball player |
| 1775 | January 4 | Birth | 1993 – Marlo Mortel, Filipino actor and singer |
| 1776 | January 4 | Birth | 1995 – Maddie Hasson, American actress |
| 1777 | January 4 | Birth | 1995 – María Isabel, Spanish singer |
| 1778 | January 4 | Birth | 1995 – Victonara Galang, Filipino volleyball player |
| 1779 | January 4 | Birth | 1996 – Jade Jones, English wheelchair racer |
| 1780 | January 4 | Birth | 1997 – Răzvan Popa, Romanian footballer |
| 1781 | January 4 | Birth | 1998 – Liza Soberano, Filipino-American actress |
| 1782 | January 4 | Death | 874 – Hasan al-Askari, Saudi Arabian 11th of the Twelve Imams (b. 846) |
| 1783 | January 4 | Death | 1248 – Sancho II of Portugal (b. 1207) |
| 1784 | January 4 | Death | 1286 – Anna Komnene Doukaina, Byzantine wife of William II of Villehardouin |
| 1785 | January 4 | Death | 1428 – Frederick I, Elector of Saxony (b. 1370) |
| 1786 | January 4 | Death | 1564 – Hosokawa Ujitsuna, Japanese commander (b. 1514) |
| 1787 | January 4 | Death | 1584 – Tobias Stimmer, Swiss painter and illustrator (b. 1539) |
| 1788 | January 4 | Death | 1695 – François-Henri de Montmorency, duc de Luxembourg, French general (b. 1628) |
| 1789 | January 4 | Death | 1752 – Gabriel Cramer, Swiss mathematician and physicist (b. 1704) |
| 1790 | January 4 | Death | 1761 – Stephen Hales, English clergyman and physiologist (b. 1677) |
| 1791 | January 4 | Death | 1782 – Ange-Jacques Gabriel, French architect, designed École Militaire (b. 1698) |
| 1792 | January 4 | Death | 1786 – Moses Mendelssohn, German philosopher and theologian (b. 1729) |
| 1793 | January 4 | Death | 1804 – Charlotte Lennox, English author and poet (b. 1730) |
| 1794 | January 4 | Death | 1821 – Elizabeth Ann Seton, American nun and saint (b. 1774) |
| 1795 | January 4 | Death | 1825 – Ferdinand I of the Two Sicilies (b. 1751) |
| 1796 | January 4 | Death | 1863 – Roger Hanson, American general (b. 1827) |
| 1797 | January 4 | Death | 1874 – Thomas Gregson, English-Australian politician, 2nd Premier of Tasmania (b. 1798) |
| 1798 | January 4 | Death | 1877 – Cornelius Vanderbilt, American businessman and philanthropist (b. 1794) |
| 1799 | January 4 | Death | 1882 – John William Draper, English-American physician, chemist, and photographer (b. 1811) |
| 1800 | January 4 | Death | 1883 – Antoine Chanzy, French general (b. 1823) |