Replace the AC compressor with a DC compressor. I didn't mean to imply it is a DIY project but it is SOTS.
Generally done on boats but makes sense for off grid too. On boats the "box" is custom made, the goal being much thicker insulation and a top opening to reduce energy input.
The same rational applies for off grid usage as well.
There are lots of people using chest freezers as refrigerators. They run them off an external thermostat on a probe. If I remember correctly it's really popular with the home brewing guys. You probably don't even have to run it off a dc compressor to see big gains.