In our old house we had a well-stocked disaster kit that got destroyed in a house fire.
More up-to-date: we have supplies of non-perishable food. For heating and cooking, we have a wood stove and endless supplies of wood. We also have a gas barbecue that's a lot easier to cook with. A large rainwater-supplied water tank. A wind-up radio and torch.
Although we live in the Shaky Isles, we're in the part that doesn't get earthquakes, and we're high enough up not to get flooded (although we do sometimes have the road closed by floods).