If you are looking for authority directories I am afraid you will looking for a long time with google's recent wet noodle lashing (assuming you mean according to google). If you mean authority according to directory owners then most will claim they have one
Authority might be in the eye of the beholder. Most will claim they have a positive authority site, but what exactly is authority? If you can clarify that some more, I am sure some here can help you find what your looking for.
here is the aviva post which explains more about authority! http://www.avivadirectory.com/downloadblog/?p=298 hope it helps! and this list, http://www.avivadirectory.com/strongest-directories/ has almost all the authority directories in it! google may call it site-links, but remember only a few of the very best sites have these sub-links in the serps!
Authority directories are the directories that meet the some criterion below. http://www.directorytotal.com/quality-directory-selection-factors/
The guy on given link is telling about quality directory, not authority directory. I too waiting to hear definition of authority directory.
An authority site is a site which is supposed to supercharge your serp's. But since they are sites which won't give you a link no one has been able to put it to the test. So the best way of describing an authority site is any site which won't give you a link. Wasn't avivadirectory one of the sites that Google slapped with penalties? Weren't they penalised for up-selling PR?
Is it a Authority site ? Authority Sites ranking so high in the search engine results pages (serps). So, you provide appropriate keywords when you want to define: Authority Directory