Hello @Rob_Watson,
yeah so at the moment what you can do is via project creation from a template there is the project library that shows all templates from different teams/ the whole org: How to Use Asana Project Templates | Product Guide • Asana Product Guide
And for every team you can see all templates on the team homepage.
The only thing is that project templates can be set private to a team so you or your org owner should ensure you get access to all in order to be able to access all templates.
I have also found this feedback request thread that might be interesting for you: Search and display a subset of library templates by a unique character string
Does that help?