Okay, if this is going to be a whole project you probably want a commercial supplier. Based on your geo-preference, one recommendation would be Formulor:
https://www.formulor.de/material/mylar
You can upload your own SVGs for laser cutting and engraving, the whole process is rather automated. They offer templates for Inkscape or whatever the matching, closed-source Adobe product is (Illustrator maybe?)
I linked the mylar material since that would be my recommendation for stencils used for e. g. painting, spraying etc. Mylar hits an excellent balance between cost, handling and durability.
Formulor is probably not the cheapest supplier, but it’s reliable and instant with no customer support agents involved and requires no quotes and approvals being sent back and forth.









I could see it if it was a screen I get to control, akin to a smart mirror. Fridge door would be a pretty good surface since I’m guaranteed to look at it a couple of times each day.
Other than that, push notifications if the door is open? That’s about the max when it comes to usefulness I can imagine. Is that a problem that requires a connected device? No, probably not.
However, depending on the model range, it becomes difficult to even get a model that doesn’t have the “smart” features. No one can force you to connect the device though (yet).