In my course (that I'm still writing) called "What is the Service design process?" I mention 8 processes:
Service Design Playbook by British Columbia Government Public Service
Civic Service Design Process
Service Standard by the UK Government Digital Service
Digital Service Standard criteria by the Australian Digital Tranformation Agency
Service design and delivery process by the Digitial Transformation Agency of the Australian Government
The Scottish Approach to Service Design (SAtSD)
Project X's innovation model by Innovationsguiden
Colour-in City design process