Where can we see a list of the available report templates? (from Webinar May 31)

The easiest is to use the GUI, which will display all the templates your account is entitled to. To access this you need a valid user account.

We recently published a tutorial with a set of videos on TRTH v2. In there, the API explanation video shows the list (starting at 07:12). The introductory video to the GUI also covers report templates (starting at 03:06).