"This is the place" Brigham Young
I have seen in mail order catalogs like Walter Drake these coffee machine sliding trays that sell for about 20.00. The sliding tray is designed to slide the coffee machine from under the cabinet to the front of the counter to allow the top lid of coffee machine to open.
If the cabinet is in the way of the coffee machine opening its lid to add water or coffee grounds, then it's often moved towards the front of counter. I found an inexpensive way to reuse a plastic shoe box lid as a sliding tray for that coffee machine or other small appliance that needs to be moved regularly.
|Shoe Lid as sliding tray|
|Coffee Machine Tray|
|Slide back and forth|
|Slide coffee machine|