|660 BC||Japan||Coronation Day First Emperor Jimmu|
|301||San Marino||Independence from the Roman Empire|
|461||Ireland||Death of St. Patrick|
|1291||Switzerland||Alliance against the Holy Roman Empire|
|1492||Spain||Columbus Discovers America|
|1523||Sweden||Election of Gustav Vasa as King of Sweden|
|1580||Portugal||Death of National Poet Luís de Camões|
|1776||United States||Declaration of Independence from Great Britain|
|1788||Australia||Founding of Sydney|
|1789||France||Storming of the Bastille|
|1791||Poland||Constitution of the Polish–Lithuanian Commonwealth|
The list does not include sub-national territories where Scotland (70), England (303), Wales (589), Faroe Islands (1030), Minorca (1287), Catalonia (1714) and Sardinia (1794) also celebrate events before 1800.
Apologies if I have missed any event in the above list.