| 33991 | March 27 | Event | 1963 – Beeching Axe: Dr. Richard Beeching issues a report calling for huge cuts to the United Kingdom's rail network. |
| 33992 | March 27 | Event | 1964 – The Good Friday earthquake, the most powerful earthquake in U.S. history at a magnitude of 9.2 strikes Southcentral Alaska, killing 125 people and inflicting massive damage to the city of Anchorage. |
| 33993 | March 27 | Event | 1975 – Construction of the Trans-Alaska Pipeline System begins. |
| 33994 | March 27 | Event | 1976 – The first 4.6 miles of the Washington Metro subway system opens. |
| 33995 | March 27 | Event | 1977 – Tenerife airport disaster: Two Boeing 747 airliners collide on a foggy runway on Tenerife in the Canary Islands, killing 583 (all 248 on KLM and 335 on Pan Am). Sixty-one survived on the Pan Am flight. This is the worst aviation accident in history |
| 33996 | March 27 | Event | 1980 – The Norwegian oil platform Alexander L. Kielland collapses in the North Sea, killing 123 of its crew of 212. |
| 33997 | March 27 | Event | 1980 – Silver Thursday: A steep fall in silver prices, resulting from the Hunt Brothers attempting to corner the market in silver, leads to panic on commodity and futures exchanges. |
| 33998 | March 27 | Event | 1981 – The Solidarity movement in Poland stages a warning strike, in which at least 12 million Poles walk off their jobs for four hours. |
| 33999 | March 27 | Event | 1986 – A car bomb explodes at Russell Street Police HQ in Melbourne, killing one police officer and injuring 21 people. |
| 34000 | March 27 | Event | 1990 – The United States begins broadcasting TV Martí, an anti-Castro propaganda network, to Cuba. |
| 34001 | March 27 | Event | 1993 – Jiang Zemin is appointed President of the People's Republic of China. |
| 34002 | March 27 | Event | 1993 – Italian former minister and Christian Democracy leader Giulio Andreotti is accused of mafia allegiance by the tribunal of Palermo. |
| 34003 | March 27 | Event | 1998 – The Food and Drug Administration approves Viagra for use as a treatment for male impotence, the first pill to be approved for this condition in the United States. |
| 34004 | March 27 | Event | 1999 – Kosovo War: Yugoslav SAM downed F-117A, the first and only kill of the stealth aircraft. |
| 34005 | March 27 | Event | 2000 – A Phillips Petroleum plant explosion in Pasadena, Texas kills one and injures 71. |
| 34006 | March 27 | Event | 2002 – Passover massacre: A Palestinian suicide bomber kills 29 people partaking of the Passover meal in Netanya, Israel. |
| 34007 | March 27 | Event | 2002 – Nanterre massacre: In Nanterre, France, a gunman opens fire at the end of a town council meeting, resulting in the deaths of eight councilors and the injury of 19 others. |
| 34008 | March 27 | Event | 2004 – HMS Scylla, a decommissioned Leander-class frigate, is sunk as an artificial reef off Cornwall, the first of its kind in Europe. |
| 34009 | March 27 | Event | 2009 – The dam forming Situ Gintung, an artificial lake in Indonesia, fails, killing at least 99 people. |
| 34010 | March 27 | Event | 2009 – A suicide bomber kills at least 48 at a mosque in the Khyber Agency of Pakistan. |
| 34011 | March 27 | Event | 2013 – A 6.0-magnitude earthquake strikes near Taipei, Taiwan, injuring 97 people. |
| 34012 | March 27 | Event | 2013 – Canada becomes the first country to announce its intention to withdraw from the United Nations Convention to Combat Desertification. |
| 34013 | March 27 | Event | 2014 – Philippines signs a peace accord with the largest Muslim rebel group, the Moro Islamic Liberation Front, ending decades of conflict. |
| 34014 | March 27 | Event | 2015 – Al-Shabab militants attack and temporarily occupy a Mogadishu hotel leaving at least 20 people dead. |
| 34015 | March 27 | Birth | 972 – Robert II of France (d. 1031) |
| 34016 | March 27 | Birth | 1196 – Sviatoslav III of Vladimir (d. 1252) |
| 34017 | March 27 | Birth | 1306 – Philip III of Navarre (d. 1343) |
| 34018 | March 27 | Birth | 1416 – Antonio Squarcialupi, Italian organist and composer (d. 1480) |
| 34019 | March 27 | Birth | 1416 – Francis of Paola, Italian friar and saint, founded the Order of the Minims (d. 1507) |
| 34020 | March 27 | Birth | 1509 – Wolrad II, Count of Waldeck (d. 1575) |