We live in earthquake country, so we keep a lot of canned/dry food on hand, and usually about 30-40 gallons of water, minimum. The usual stuff: flashlights, batteries, camp stove, propane, a couple of cords of wood, blankets, first aid supplies. If you have pets, have extra food and water for them. If you have babies, have extra diapers and wipes, and if you have elderly, make sure they have backups of their medication and know who in the family is prepared to get them to a safe place with family if they're alone.
Also...when we had a huge power outage not long ago, it was pretty difficult to get through on cell phones. Be prepared to not be able to contact loved ones through usual methods and have a backup contact plan in place. Keep your phone charged and have a car charger for when there's no electricity to charge it.
Keep your gas tank always at least half full.