I agree that flashlights will be one of the last priorities long term, but they're still nice to have. Here's my list of essentials:
car with full gas tank
large internal frame backpack
movable shelter for all weather conditions-4 season tent
sleeping mat
warm down sleeping bag
warm clothes and jacket
durable fire starter that lasts and is impervious to cold- Blastmatch or Strikeforce (both by Ultimate Survival-other big flint and steel tools will work but you need one that doesn't dull your knife)
Stove and cook kit (Sierra Zip Stove and titanium pot, silverware, cup, bowl)
water
water purification devices-Katadyn Pocket Water Filter(13,000 gallons per filter), Steripen (2,000 gallons-using a lot of batteries), Katadyn Carbon Cartridge (to get the chemicals out of the water) (You need to be able to purify water as it will be like the dark ages, only worse. Waste and sewage will get into the ground water. Fallout will poison the water, and boiling it will concentrate the radiation. Biological weapons will cause more deadly bacteria and viruses to get into the water.)
food (for bugging in until things settle down some:canned food, buckets of rice and beans, cereal, granola, energy bars, trail mix, just add water and maybe cook mixes like pancake mix, powdered milk, freeze dried eggs, mashed potatoes (powdered) and powdered gravy, etc.)(for bugging out to get to better location with more supplies, friends: freeze dried food).
multitool
hunting knife
solar battery charger (foldable or rollable) and rechargeable batteries
DC powered battery charger (ran off of car battery)
gun and lots of ammo (for getting more food and protecting what you have)
Freeplay AM/FM/weather radio (you need to know where bombs struck, where roadblocks are, where civilization is so you can go to it or avoid it depending on your situation, where you can obtain supplies, and when the next storm is coming)
large first aid kit with medications and potassium iodide pills
toothbrush/toothpaste/floss (Take care of your teeth. With no dentists, an abscessed tooth will make you wish you were dead.)
good l.e.d. flashlight (Fenix L2D Q5) with lots of spare batteries
Did I miss anything?