This is a self Q&A.
I've often looked around for help on using the Vimeo API, and always found the entry level examples and documentation very difficult to follow. So I've written this Q&A as help to those that need it. So here is the question:
How do I use the Vimeo PHP "Advanced API" to get all of my Vimeo videos?
The key is "my" videos. This is useful for people building a site that they want to synch with their own Vimeo account. The Vimeo examples are all geared towards allowing a 3rd party user to authenticate as needed. This is a one time static authentication example.
Visite https://github.com/leandrocfe/PHPVimeoAPI_List_Private_Video
Access video.php and add vimeo_video_id get param. Ex: localhost/vimeo/video.php?id=123123123