I'm currently living without any refrigeration and it actually works better than expected, but the circumstances are admittedly somewhat beneficial for this lifestyle in my case (I rarely cook with leftovers and there is a supermarket nearby; I hate fridge noises).

There are plenty of foods that don't need refrigeration: Bread, butter, dried meat, porridge, tinned food, and various fruits and veggies are food for days. Here is a good overview [0]. I usually just eat some cold porridge with honey and fruits in the morning and then pasta or something from the freezer or at the canteen.

[0]: http://www.bethandevans.com/pdf/livingwithoutrefrigeration.p...