For winter, bad storms coming, all that stuff....
I keep my car at least half full, and top it up if forecast is not good.
Snow socks are in the boot ready to use.
Emergency box is in the boot (mini first aid kit, work gloves, decent torch, couple of treat sized packs haribo, cloth to wipe nuts/spills etc...) - I need to check that DD hasn't eaten the haribo and the batteries are still ok in torch
I also know I need to add the gloves and hats and fleece blanket from house that are earmarked for car, and to replace bottled water (DD keeps drinking it!).
Log box has already been checked, there's sufficient but it could take another 2-3 bags if I have time to get to the log man. So that would be enough for at least 2 weeks if there was no gas to the house. Also have a spare packet of firelighters (and I know where to get sticks to start the fire once they run out).
Plenty of candles and nightlights, matches, and holders for candles (some glass containers, some storm lanterns, and some more elegant dinner table candlesticks - but all safe for lighted candles).
Wind up torches beside each bed.
My big camping lantern is at home too - but I know I need more large batteries for that.
3 headtorches (for a 3 person household) at home too - plenty of batteries for those, and I can make one into a lantern using a water barrel.
I have my small camping water barrel (5l) at home - that gets filled up if there is a danger of weather likely causing leaks and water outtages. Or to make a makeshift lantern on the dining table with a headtorch wrapped around it.
Plenty of tinned soup, easy to cook dinners (one pot), snack foods, and squash and hot choc mix (hot drinks as important) in the cupboards.
I keep my camping stove (gas canister) and Kelly kettle at home as well, as alternative cooking options. We do have a gas BBQ but I don't think there's much gas left in it - we've used that a few times in snowy weather.
And our regular cooker is a gas stove and electric oven - so we are fine if the gas goes out, but I think it won't work if the power is gone (safety thing for the gas).
And the flasks are used a fair amount anyway so they are ready to fill if we do have iffy weather.
Bad weather clothes out - depending on what's coming, the wellies and rain gear, the hiking boots and layers, snow boots and ski gear, hats and gloves and scarves.....and lots of spare thick socks!
And fleece blankets to curl up under when wind is howling outside.
Books and jigsaws accessible in case power is out (I think I need to replace the pack of cards after an unfortunate incident with a spilled glass of squash!).
The hot water bottles are out anyway, but I can easily grab spare blankets and duvets to add to the beds from spare room.
On my shopping list are a snow shovel and cat litter - I want a proper shovel (not the gimmicky versions they sell here in the "not used to snow" city), and can never find cat litter but wood ash has worked to provide grip on the paths in past snowy weather.
I also keep a spare bag of dishwasher salt for bad icy parts - it will get used up eventually, but might be handy to have for other purposes.