I do remember the absorption type refrigerators. They use a small flame to provide the energy needed to run the system.
Servel (Dometic) are no longer made but there are other brands still being made.
My grandfather had a propane powered one. The Aladdin lamp company made kerosene burners for the kerosene powered refrigerators.
The systems are nearly silent, very durable and are very simple. The downside is the added heat due to the flame, the required venting and the slow recovery when heat is added to the interior of the unit (like when you open the door and add something room temperature to be cooled).
The low voltage DC refrigerators will probably eventually replace the old ammonia based absorption refrigerators. In a warm sunny climate a solar panel, battery and charge controller will do the same thing as that flame. In a cold climate you don't really need a refrigerator !