From what I can see thus far, this is the only issue of Ozh' Admin Drop Down Menu 3.6.5 with WordPress 3.6 - the appearance menu icon is missing.
In the Chrome console I get the following error:
Failed to load resource: the server responded with a status of 404 (Not Found) nameofthesite.com/wp-admin/div
I hope this get fixed in the next update. :)