Ok, I have taken a quick look at the sites that you have mentioned, it seems to be a problem caused by your sef urls, the images themselves can be properly be displayed in IE9. If you take a look at the page source code and find an image URL, then paste the address in your browser you should see the image being displayed in IE9.
For example
http://asap-foundation.com/test/nl/?option=com_imgen&imgencoded=YmVzdGFuZGVuL2FmYmVlbGRpbmdlbi93ZWxrb20xLmpwZw==&format=image&width=100&height=100
The problem is that the image url gets redirected by your browser, presumably by your SEF extension, in a way that IE9 views as incorrect, although for some reason Firefox has no problem with it.
You may find that it takes some work to solve. If you are using the image resizer plugin you can try changing the code on lines 106 to 113 from
if($pluginParams->get('encodeName','yes') == 'yes')
{
$replacementSrc = 'index.php?option=com_imgen&imgencoded='.base64_encode($subPatterns[1]).'&format=image&width='.$width.'&height='.$height;
}
else
{
$replacementSrc = 'index.php?option=com_imgen&img='.rawurlencode($subPatterns[1]).'&format=image&width='.$width.'&height='.$height;
}
change it to
if($pluginParams->get('encodeName','yes') == 'yes')
{
$replacementSrc = JRoute::_('index.php?option=com_imgen&imgencoded='.base64_encode($subPatterns[1]).'&format=image&width='.$width.'&height='.$height);
}
else
{
$replacementSrc = JRoute::_('index.php?option=com_imgen&img='.rawurlencode($subPatterns[1]).'&format=image&width='.$width.'&height='.$height);
}
You could also try changing the settings on your SEF plugin telling it not to rewrite Imgen URLs, or you could try using absolute URLs, eg ones beginning with http: rather than ones without.
If you find something that solves the problem do let me know, in case anyone else has the same problem.