A historical reenactment is an event which endeavours to recreate a historical event, most often a battle. Such events are normally conducted on (or as near as currently possible) the original sites and are undertaken by recreationists with a re-enactment bent.
In America, American Civil War re-enactors are the best known example of this. In the UK, the best known examples tend to be the English Civil Wars re-enactors. Australian historical re-enactments are fewer and include such things as the battle of Vinegar Hill.
From an Australian point of view, these events are called shows as they indicate that they are on display.
List of Events
A list of such historical re-enactments can be found under the heading events.