Maybe you won't need it for starting your new life out of your rubble (hopefully), but these can be very useful tools for helping your neighbors, digging your own family out, etc.
I've been through quite a few natural disasters, both personally and while doing search and rescues, rendering aid, etc. and you would be surprised by how many people in big cities, especially apartment dwellers, have little to no equipment that would be useful for helping themselves or others.
Somberbear's suggestion of an electrical tester is a good one. Electricity is a killer and you can get them combined with screwdrivers or pliers to make them more versatile.
Maybe add plywood to board up your house to prevent looting and square screws to put it up with so that it's more difficult for looters to remove them. Don't forget to throw a square screwdriver bit in your BOB.
Chainsaws are a life saver and become worth their weight in gold during emergencies. During Hurricane Fran chainsaws were one of the biggest items that were price gouged.
Come Alongs and winches are very useful.
Generators of course are a highly sought after item.
I keep spigot keys in my cars and in all of my BOBs so that I can access water from city buildings, etc if I'm on the move. I've needed them on a couple of occassions but never had them, and now that I have them I'm sure that I'll never need them.
Of course, with my luck all of my important gear would be irretrievably lost in [insert your natural disaster].