| 1801 | January 4 | Death | 1891 – Antoine Labelle, Canadian priest (b. 1833) |
| 1802 | January 4 | Death | 1896 – Joseph Hubert Reinkens, German bishop (b. 1821) |
| 1803 | January 4 | Death | 1901 – Nikolaos Gyzis, Greek painter and academic (b. 1842) |
| 1804 | January 4 | Death | 1903 – Gulstan Ropert, American missionary (b. 1839) |
| 1805 | January 4 | Death | 1903 – Topsy American elephant (b. 1875) |
| 1806 | January 4 | Death | 1904 – Anna Winlock American astronomer (b. 1857) |
| 1807 | January 4 | Death | 1910 – Léon Delagrange, French pilot and sculptor (b. 1873) |
| 1808 | January 4 | Death | 1912 – Clarence Dutton, American geologist and soldier (b. 1841) |
| 1809 | January 4 | Death | 1919 – Georg von Hertling, German academic and politician, 7th Chancellor of the German Empire (b. 1843) |
| 1810 | January 4 | Death | 1920 – Benito Pérez Galdós, Spanish author and playwright (b. 1843) |
| 1811 | January 4 | Death | 1924 – Alfred Grünfeld, Austrian pianist and composer (b. 1852) |
| 1812 | January 4 | Death | 1931 – Art Acord, American actor and stuntman (b. 1890) |
| 1813 | January 4 | Death | 1931 – Louise, Princess Royal of England (b. 1867) |
| 1814 | January 4 | Death | 1931 – Mohammad Ali Jouhar, Indian journalist, activist, and scholar (b. 1878) |
| 1815 | January 4 | Death | 1940 – Flora Finch, English-American actress and producer (b. 1867) |
| 1816 | January 4 | Death | 1941 – Henri Bergson, French philosopher and academic, Nobel Prize laureate (b. 1859) |
| 1817 | January 4 | Death | 1943 – Jerzy Iwanow-Szajnowicz, Greek-Polish athlete and saboteur (b. 1911) |
| 1818 | January 4 | Death | 1944 – Kaj Munk, Danish playwright and pastor (b. 1898) |
| 1819 | January 4 | Death | 1945 – Harold Fraser, American golfer (b. 1872) |
| 1820 | January 4 | Death | 1960 – Albert Camus, French philosopher and novelist, Nobel Prize laureate (b. 1913) |
| 1821 | January 4 | Death | 1961 – Erwin Schrödinger, Austrian physicist and academic, Nobel Prize laureate (b. 1887) |
| 1822 | January 4 | Death | 1962 – Hans Lammers, German SS officer (b. 1879) |
| 1823 | January 4 | Death | 1965 – T. S. Eliot, American-English poet, playwright, and critic, Nobel Prize laureate (b. 1888) |
| 1824 | January 4 | Death | 1967 – Donald Campbell, English race car driver (b. 1921) |
| 1825 | January 4 | Death | 1970 – Jean-Étienne Valluy, French general (b. 1899) |
| 1826 | January 4 | Death | 1971 – Arthur Ford, American psychic, founded the Spiritual Frontiers Fellowship (b. 1896) |
| 1827 | January 4 | Death | 1975 – Carlo Levi, Italian painter, author, and activist (b. 1902) |
| 1828 | January 4 | Death | 1976 – Epameinondas Thomopoulos, Greek painter (b. 1878) |
| 1829 | January 4 | Death | 1981 – Ruth Lowe, Canadian pianist and songwriter (b. 1914) |
| 1830 | January 4 | Death | 1985 – Brian Horrocks, Indian-English general (b. 1895) |