Yes, this is related to your organizational subscription. An organization can override the default list of web app templates with their own by pointing at a group. I'm guessing someone did this, but the group they pointed to doesn't have any templates in it.
If you are an admin of your organization, edit the settings of the organization from the My Organization page. Go to the Map tab and check the setting for Web App Templates. You should be able to set it to ESRI Default and get your templates. If it's already set that way, there could be a bug here that we'll need to look into more.
Thanks,
Mike