Try adding this parameter inside the object tag
<param name="wmode" value="transparent">
and add this inside of the embed tag.
wmode="transparent"
Sample of the new code for your current video:
<object height="225" width="400" codebase="https://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=6,0,40,0" classid="clsid:d27cdb6e-ae6d-11cf-96b8-444553540000"><param value="true" name="allowfullscreen"><param name="wmode" value="transparent"><param value="always" name="allowscriptaccess"><param value="https://vimeo.com/moogaloop.swf?clip_id=12205114&server=vimeo.com&show_title=1&show_byline=1&show_portrait=0&color=&fullscreen=1" name="src"><embed height="225" width="400" allowscriptaccess="always" allowfullscreen="true" src="https://vimeo.com/moogaloop.swf?clip_id=12205114&server=vimeo.com&show_title=1&show_byline=1&show_portrait=0&color=&fullscreen=1" type="application/x-shockwave-flash" wmode="transparent"></object>
I think that will do it.