Big question mark -- is this even a sensible thing to ask for? I'm designing a board at the moment, and the _only_ components that would need to go on the back side are a pair of LEDs (the board is mounted with it's back to the instrument's front panel).
If someone made something like a surface-mount LED that shined on it's bottom, then I could make a hole and put the LED over it, and only have to do fabrication from the top.
I think I've answered my own question. This is absurd. I'm going to post this for your amusement, and for the off chance that this is really made. Otherwise, I'll just have a board with two (and only two) components on the backside.