var originalArray:Array = new Array("alpha", "bravo", "charlie", "delta", "echo", "foxtrot");
var shuffledArray:Array = originalArray.sort(shuffle);
trace(shuffledArray);

function shuffle(originalArray,shuffledArray):int
{
	var sortNum : int = Math.round(Math.random() * 2) - 1;
	return sortNum;
}

Just uses the sort function to randomize an array

Unique Random Array

ActionScript 3