Living in on the edge of the Mojave Desert, we are subject to earthquake, but the bad zones are many miles away. We keep a pantry full of canned goods. There is a pass that when blocked makes it impossible to go toward L.A., but there are numerous routes out of the area in other directions. There are some areas that are vulnerable to flash floods, but our first winter here was so rainy we realized what kinds of areas to avoid. We have Caliche, a hard layer of sandstone just under the surface sand, which is impervious to water, which makes water accumulate fast with very slow draining. On our property, the hard layer is 1 to 3 feet below the surface, but when we planted, we dug very deep holes through the caliche into the sand below, so water drains fairly fast in our back yard.
Hard to imagine that flooding is one of the dangers of desert living.
It's also important to keep a stash of cash, with lots of coins and smaller bills since in an outage, you won't be able to use plastic. How much? Depends on how much you can afford to accumulate, but at least enough to get through a few days, and a couple of tanks of gas--don't wait to fill up if something happens, gas will sell out quick.
Water for drinking and cooking is also important, but you have to store it carefully. Don't forget the 30-40 gallons of water in your heater. We keep several gallons of filtered water around and cycle through them on a daily basis. I think you can put a tiny amount of bleach for longer storage, and/or boil it before putting it away. Earthquake can damage water systems, but water costs a lot so repairs will happen pretty fast around here.
Dried beans and rice (with spices) make a complete protein, so keeping some dry around is a safe bet. Keep some dry, packaged spice mixes around, you'll get sick of plain rice and beans. If the disaster looks like it will take time to resolve, and the electricity is out, eat what's in the refrigerator and freezer first, save the emergency dry rations for later last.
Keep copies of all your important papers in a plastic baggie or two, and originals in a bank box. Keep a list of your meds, and keep a supply on hand of things like blood pressure and other critical meds where you can get them fast.
All this from a friend who is on a regional emergency services panel.
With so much of our lives in our cell phones, I think it's not a bad idea to have a cell phone recharging battery pack around. I got one for another purpose that will charge a phone 3-4 times. Cell phone networks are pretty robust in an emergency situation, but not if your phone battery is dead. Put all your important numbers on there. In fact, you could also photo your most important information and paperwork and medical info so its easily available. I'd have my ID and passport on there as well.
The more I do, the less I accomplish.