i also have similar problem with the embed code only for Video Library. It works fine it covers sub menu options the same time that video player dont cover sub menu options. I have tried almost everything like wmode=transparent, wmode=opaque, add this like param name and etc. When i reach a situation when both player and library appear correctly for strange reason i loose connection between player and libray... The above code works perfect in HTML but not in joomla.
<object width="596" height="480" id="lsplayer" classid="clsid

27CDB6E-AE6D-11cf-96B8-444553540000">
<param name="movie" value="http://cdn.livestream.com/grid/LSPlayer.swf?channel=iatriceducation&color=0xe 7e7e7&autoPlay=true&mute=false&iconCol orOver=0x888888&iconColor=0x777777">
</param>
<param name="allowScriptAccess" value="always">
</param>
<param name="allowFullScreen" value="true">
</param>
<embed name="lsplayer" wmode="transparent" src="http://cdn.livestream.com/grid/LSPlayer.swf?channel=iatriceducation&color=0xe 7e7e7&autoPlay=true&mute=false&iconCol orOver=0x888888&iconColor=0x777777" width="596" height="480" allowScriptAccess="always" allowFullScreen="true" type="application/x-shockwave-flash"></embed>
</object></td>
<td>
<p>
<object width="351" height="480" id="lslibrary" classid="clsid

27CDB6E-AE6D-11cf-96B8-444553540000">
<param name="movie" value="http://cdn.livestream.com/grid/LSLibrary.swf?channel=iatriceducation&&player=l splayer&mode=idname">
</param>
<param name="allowScriptAccess" value="always">
</param>
<param name="allowFullScreen" value="true">
</param>
<param name="wmode" value="opaque" />
<embed name="lslibrary" src="http://cdn.livestream.com/grid/LSLibrary.swf?channel=iatriceducation&player=lspla yer&mode=idname" width="351" height="480" allowScriptAccess="always" allowFullScreen="true" type="application/x-shockwave-flash"></embed>
</object>