Usually have some kind of hot drink/soup making kit in the car, (stoves, water, drinks etc), along with random blankets, jackets, shovels, torches, emergency triangle etc. And there's always at least two knives in the car.
At home we have more batteries than we know what to do with (rechargables that hold their charge when just sitting around - eneloop), ditto torches. Ditto candles and means of lighting them. A wind up torch and a wind up radio. Several stoves & fuel, plenty of dried and tinned food (including home-dried stuff). Usually try to keep a full freezer - partly so we have food available in case, but also to slow down defrosting if the power goes (and the freezer compartment is surprisingly well insulated, too). Usually have bottled water, always have ice that can be melted (I know it's not energy efficient, but it's better than nothing!). Oh, knives, kindling and other burnable stuff.
More than we are likely to need for any situation where we live