Do a total cost of ownership calculation. A fridge is one of the more expensive appliances you can own. If you have an old, inefficient one, the cost of energy burned may easily be more than the cost of purchasing and operating a new energy-efficient one. If you start repairing old appliances, you could be throwing good money after bad.
In the seventies I worked for the USAF in Germany. There was a big realignment of units and a call went out for units to send us any spare appliance inventory. Some small Army unit in the middle of nowhere sent us a new unit, still in the carton. We unpacked, tested and issued the 1950s era fridge to some unsuspecting family. It was beautiful.