Word 2013 will only show you the "Featured" AND "Personal" options on the "File / New" screen, if you have something entered in the "Default Personal Templates Location", which can be found in the Word Options screen. (Go To "File" in the top left, then down to options.)
Enter the path to your templates, in the "Default Personal Templates Location" field - I am sticking with the old Office 2010/2003 etc location.
Once you have a valid path in that field, the "Personal" link will appear on your File / New screen, and you'll be able to see your old documents.
Discouverable software - right! - discoverable only using Google.