I have a good idea of where the internal coils are, from years of defrosting the fridge, but I'm not going to insulate inside... space is already marginal for our use.
I'll be looking for suitable material first, then if I can find stuff for cheap enough, I'll be doing the front and the sides, and perhaps adding some around the rubber seals, as well. For cosmetic purposes, perhaps some wallpaper or veneer... or even cheap wood-veneer sticker to match the rest of the kitchen.
If I do go through with it... I'll definitely drop a line.