If you and your family want to have a complete storage system, you could store everything imaginable! However to finance this kind of supply in the short term (just like your food storage) would present financial difficulties. You don't need to do it overnight though. It is a long term project within the financial and time capacity of the family. It probably should also be done in an orderly, systematic manner and not strain your income.
The following will give you some ideas of what you could store:-
Okay, so I'm not a huge fan of paper plates being used constantly, but when you have no water for a week, it is a blessing! You don't want to use your precious drinking water on washing up.
Poles for staking veggies
HEAT AND LIGHT
Torch and batteries
Brushes and combs
Baby products (if you have a baby)
First Aid Kit
Laundry Powder (if you don't want to make your own)
"How to" information books
Radio (battery or wind up)
Small parts (nuts, bolts, screws, nails etc)
Clothing (ready made)
Pins and needles
Have I forgotten anything? These are basics, so if there's anything else that your family would use (that isn't food), write it on your list.