I was hoping I could avoid a 2 step process, but your pic says otherwise.
It's your basic thin mylar film, as growers would use, and I got it from an arts supply store.
Now I'm thinking I'll glue the mylar to some thin cardboard and then set the cardboard to the painted surface. At least this way, if it wrinkles on the cardboard, I can bow it inwards while the glue sets, and then when I flatten it out, it'll lessen the wrinkles.
Contact cement does hold the mylar, but it can't be spread reasonably, so it gives an ugly bubbly look.
If only this box didn't have so much vibration, I could attach a mirror.
Also, my Mylar is a straight film, no grid at all. If you were to put it between 2 pieces of glass, you would swear it was a real mirror.