Code:
.performancesidebox ul, .exteriorsidebox ul, .audiosidebox ul, .interiorsidebox ul, .lightingsidebox ul {
list-style-type: none;
}
If you want individual boxes with rounded corners for the sideboxes, you are right, the approach you took will do it best.
Each of those sideboxes will have a tpl_boxname.php, and some of the Cat Dressing code could be added to each of them. Depending on how they work, it might be possible to do nearly all of the hover effects with CSS, or you might need the PHP. If you post one of those files (in [php] and [/php] tags), I will take a look and see what approach will work best.