Here is the full list of all 13 VR The Diner Duo achievements.
Complete the first tutorial
Complete level 15
Complete all tutorials
Customize both the waitress and the chef
High five yourself in customization
Serve 500 burgers
Burn 50 burgers
Score 2500 points in endless mode
Throw a burger to a customer
Complete level 30
Get 3 stars on all winter levels
Unlock all customizations
Get 3 stars on all normal levels