Even if you can't stockpile many things due to lack of space in or around your home, you can adapt the items on this list to create an emergency grab bag, the contents of which would keep you alive for a week or so if help was not immediately forthcoming. If each member of your family has their own emergency grab bag to hand you all have a far better chance of survival.
Remember that not everything on this list will be essential to you and you might need to pick and choose the relevant items depending on where you are located in the world.
Food to Stockpile
Most important is to keep you and your family safe!