That is exceptionally efficient, even the very expensive Liebherr and Miele small larder refrigerators will be rated around 120Kwhrs/year. What type of fridge do you have?

I know that you can operate a Vestfrost SE225 freezer to operate at a fridge with a thermostat controller which will get you around 36KWhrs/year. Enough to be easily powered in sunny weather by something like 60W PV panel/Pure Sine Wave Inverter and Deep cycle battery.

http://www.builditsolar.com/Projects/Conservation/chest_fridge2.pdf

Also when powering AC motor equipment that use a capacitor start (most refrigerators and freezers) a pure sine wave output on the gennie inverter is a recommended such as the Honda Portable Silent Generator EU20i esp with a butane/propane gas conversion. (the fuel is much easier and safer to store on site than petrol)