Tardis fridge.
Depends how creative you want to get. Imagine a chest freezer in the next room, behind the kitchen wall. Build something around the chest freezer in that room to hide it; say a garage workbench. Cut a out one end of the chest freezer, and the back of the fridge behind the freezer door. Then install a drawer large enough to extend through the fridge and the entire chest freezer. May have to move the fridge compressor. You could even connect the coils from the back of the fridge to the side of the chest freezer. Take out the drywall and studs from the wall behind the fridge, so it fits flush with the backside of the drywall for the other room. Or plywood of the garage. If it's a garage, be careful to keep the vapour barrier sealed. Have to keep out car exhaust.

As long as the back of the freezer drawer section is hidden by cupboards, you could use sections of sheet metal screwed on to connect the fridge to freezer. Insulate with styrofoam. And seal the new styrofoam to the fridge and freezer styrofoam with spray foam. Would need a bit of sheet plastic for the inside, sealed with silicone adhesive.

This would make the top of the fridge deeper than the room. Just recessed into the wall, and no coils on the back of the fridge. But the freezer drawer would be so long you could fit the meat from an entire elk. Three times the depth of the fridge.

How's that for "bigger on the inside"? Too obsessive?

That's an odd looking ride!