I came across this while browsing my Azure SharePoint 2013 Site Collection. Which I thought was strange considering my On-Prem SharePoint 2013 Site Collection displays the default templates.
A quick Google Search, I came across this: http://social.technet.microsoft.com/Forums/sharepoint/en-US/16461c60-4831-44bd-af11-1f6d99e44ab6/composed-looks-change-the-look-themes-are-missing-when-creating-site-from-saved-template?forum=sharepointgeneral
So the quickest and easiest way to get the templates into Composed Looks, is to create a sub-site and take a loot at the Composed Looks from that Sub-site.
On a sub-site I created all of the default template settings are shown as thus:
Useful Tip: This must be done from Internet Explorer (I used IE10), this will not work from Chrome. I didn’t test it in Firefox.
Any questions or comments, post below.