Install via Bower

$ bower install swf-jquery --save

Examples:

Simple Load

<div id="example1"></div>

<script>
$('#example1').flash('assets/exampleFlash.swf')
</script>

With Parameters

<div id="example2"></div>

<script>
$('#example2').flash({
	swf:'assets/exampleFlash.swf',
	width:320,
	height:250,
	allowFullScreen: true,
	id:'flashPlayer_example2',
	wmode:"transparent",
	flashvars: {
		txt: 'Hello World',
		foo: 'bar'
	}
});
</script>

Functions

HTML -> SWF
SWF  -> HTML

In this movieClip, the flash buttons will show if the variable showButton is true 
Flash:
<div id="example3"></div>

HTML:<br>
<div class="btn-sample3" id="btnSample3_left">creatureMove("left")</div>
<div class="btn-sample3" id="btnSample3_right">creatureMove("right")</div>


<script>
$('#example3').flash({
	swf:'assets/exampleFlash.swf',
	width:320,
	height:250,
	allowFullScreen: true,
	id:'flashPlayer_example3', // setup id to call SWF
	wmode:"transparent",
	flashvars: {
		showButton: true
	}
});

window.changeColor = function(str){
	$('.btn-sample3').removeClass('red').removeClass('blue').addClass(str);
}

$('#btnSample3_left').click(function(){
	$("#flashPlayer_example3")[0].creatureMove('left'); // [0] because jQuery return array
});

$('#btnSample3_right').click(function(){
	$("#flashPlayer_example3")[0].creatureMove('right');
});
</script>
Flash:
HTML:
creatureMove("left")
creatureMove("right")


Documentation on GitHub