tlhIngan, in central Tokyo (for what that's worth), everything is still open, but hoarding is getting ridiculous and essentials are becoming harder to find. Milk, rice, bread products of all kinds, and noodle products of all kinds are scarce. Unhealthy cup ramen, a staple "emergency" food, is completely unobtainable. Fresh fruit and vegetables are more easily obtained than dried noodles!
Nerves are fraying more at the train stations, where lines to get on are stretching out the station and down the block. Some places are getting one train every half hour where they normally have a train coming every 2-3 minutes. There were stories on the news of knife fights as people tried to cut in line at gas stations.
I'm very thankful that Japan isn't as automobile-centric as the US is. Four of the five supermarkets withint walking distance of me have no parking, so we're all on an even footing when it comes to carrying our goods out of the store. In a car-oriented society (and rural Japan is one, somewhat), people would be loading up their monster SUVs with many times their own weight in food, and there would be nothing left for anyone who's limited to a few dozen pounds of goods.
Living through this situation makes me fully understand that visual impairment -- enough to prevent you from driving, anyway -- is, in the US, a handicap just as debilitating as more-recognized ones. If any of you readers work at your town or city halls, make "getting food and transportation available to people without cars" a main pillar of your disaster plan. It's not these people's fault that American society was built around something they have no access to.