I'm pretty sure the house we live in was built just before rural electrification got here. There's a chimney through the kitchen with an access hole for the wood cookstove chimney (though unfortunately, we don't have a wood cookstove), a proper root cellar, and a big cistern. Being at the end of a line, we have fairly frequent outages as is, and we're usually the last folks to get power back when things do go down. Between a well-designed house and ongoing experience, we've gotten pretty comfortable with power outages. We've gone as many as 5 days without power here (in the summer), and it was a nuisance, but not a huge deal.
That time, we lost most of the food in the freezers (well, we fed it to the dogs and chickens), which I think we'd resign ourselves to in any longer-term summer outage. Trying to can up two freezers' worth of random garden stuff when fuel is at a premium doesn't hit me as a great use of resources. We have plenty of other food in the house, and if it was a summer outage, we'd be eating out of the garden and refilling the freezers shortly anyhow (assuming the power came back on within a few weeks). In a winter outage, we could just drag the freezers outside to stay frozen while still protecting the food inside from critters.
In a winter outage, our biggest issue is heat. We have a wood stove that heats the living room very nicely, but I don't think enough heat gets to the basement to keep the cistern from freezing in an extended outage. I'm not sure what we'd do there. We also don't have a whole winter's worth of seasoned wood, since we don't use that stove for primary heat.
Otherwise, we're in pretty good shape for short-to-mid length (say a month) power outages.
It would be ten minutes' work to plumb the downspouts into the cistern to collect rainwater - there are input / output holes, so the system was designed for rainwater collection, though we currently collect rainwater in outdoor barrels. We don't actually water our garden or trees very much, and what we do water is normally from rain barrels. The chickens and dogs also drink rainwater for much of the summer, whenever the barrels are full. In the winter, there is usually plenty of snow to melt for drinking and washing.
For hygiene, in a short power outage, our sewers are gravity-fed into a septic tank, so we could just keep letting it do that. After about a week, though, we'd need to stop, as the tank pumps out by electric pump. We could easily divert the bathtub to drain onto the lawn, though, and dig an outhouse hole. My husband and I have traveled to some very water-poor areas, and know from experience that we can clean ourselves by dippering from a bucket - you can get completely clean in less (usually waaayyy less) than 5 gallons of water that way. We can wash laundry in the tub, and dry it on the line - either outdoors or on a rack in the house.
The root cellar is definitely not as cold as a fridge in the summertime (though it is very close in the winter), but we use it for cool storage year-round. It works fine for keeping eggs, dairy, and such cool for a few days or a week. Milk won't last as long in the summer, though, and I wouldn't trust meat to be stored down there for any length of time. In a winter outage, we'd just keep frozen stuff outside, and use buckets of snow to keep the fridge cool - we've done that before. We could probably seal things in glass jars and sink them in the cistern for some level of refrigeration, too.
Lighting is a non-issue for half the year, but in winter, we'd be stuck with flashlights and kerosene lamps. We keep both on hand because of the frequent outages we already have.
For cooking, we have the BBQ, the wood stove, and a camp stove. We could build a fire pit in the yard easily enough, too. There are plenty of trees here.
We have lots of books, drawing supplies, board games, and non-electronic kids' toys, and don't normally use a ton of electricity for entertainment anyhow, besides the internet.
Getting to work (or to town at all) would be an issue, though if the power was out, my day job wouldn't be functioning either. When we had the one extended local outage, the gas stations were all closed, since they need power to pump the gas. Not a big deal for us, since we were well prepared to stay put, but it could be an issue for some people.
The thing we noticed in extended power outages (and when we traveled in places with little or no access to electricity) is that everything needs to be planned, and takes more time. If it takes laundry two days to dry during a humid part of summer, you need to do smaller loads more often to make sure you've got clean shirts and underpants. Cooking takes a lot more attention, since you can't just set the heat to medium and go do something else for a few minutes. If your ingredients are more limited (since you can't grab meat and veggies from the freezer), meals might take more planning. Also, things get dirtier when it is really time-consuming or inconvenient to clean them - we wore clothing more times before washing, and bathed less frequently. Carpets would be a nightmare in short order, and we actually ripped all the carpet out of our house not long after that extended power outage. It's much easier to sweep. Income might be a problem, too - if we couldn't get to work, and weren't being paid, things like mortgages and taxes might become problematic.
I think it would be a lot tougher to ride out long-ish power outages in the city, since there are fewer things you can do to mitigate issues - imagine the neighbors seeing you dig an outhouse in your back yard! Here in the middle of nowhere, though, we have a lot of options.
I think it also depends on how much you rely on electricity in the first place. If you don't watch TV, the kids don't miss it when the power is out. Same thing if you chop your vegetables with a knife, rather than a food processor. Given that we're in an old house, we don't have the electric outlets or counter space for a lot of gadgets, so we don't have a dishwasher, electric kettle, food processor, coffee grinder, or many other gadgets that some folks really rely on. That makes things run more smoothly when the power is out, as you can heat a kettle of water just as easily on the wood stove or BBQ as the electric stovetop.