Best way to get really stranded is no VHF ham radio or CB amplifier (technically illegal in the US, but if it saves your life, ...), lockers and winch just tend to get you stuck more rarely, but when you do it's REALLY bad!
So now that I've living back in the southeast, this isn't such a big deal. But when I was living in Nevada, this was a HUGE deal, once went over 200 miles without seeing a person or even crossing a paved road, was not uncommon being 50+ miles from the nearest person or pavement. So I'm going to list my 600 lb NV gear load, not my 200 lb TN load. So if you really want to be a crazy person like me and wheel alone, then here's a good list to be able to stay safe.
--Survival gear - first, DO NOT count this food and water into the stuff you expect to consume! You need a backpack, shelter, and lightweight calorie sources that don't require heat of cooling (like can of beans), for at least 3 days. For survival without moving (such as scorpion or snake bite) 7 days worth of food and water and just hope someone finds you! And in the desert cannot count on water sources other than urine to filter (yeah, if you're desperately stuck, save it), so water water water! I've read about people dying in 7 hours from lack of water out there. normally I keep all my drinking water in the form of a 24 pack of water bottles, plus a 5 gallon Gerry can of water that is semi potable. But consider, the human body can survive 40 days without food, and 3 days (or about 1 day in the desert) without water. So for a 50 mile survival hike, just fill your pack with water. For shelter a military grade poncho (sorry, but they're like $50 if you aren't issued one) and a 12 ft rope tied between trees is a great tent
--5 gallons spare gas minimum (once I ignored this and ran out of gas 60 miles from the nearest gas station in death valley, don't repeat my mistake!). Gasoline powered camp stove if you can find one is also useful
-- first aid kit. I keep mine in one of the 3 normal size 200 rd 223 ammo cans I keep with the jeep. Keep everything from splints and tourniquets, but most of what you'll use is hangover meds, motion sickness pills for that inexperienced girl you picked up at the bar yesterday, etc...
--Electrical - My 2nd ammo can - probably the most overlooked part of a gear load since most people don't understand it all. Have at least 1 or more of every fuse in the jeep, my 99 has mini's, normal, and big ass sizes. plus a voltmeter, heck you can get a free one at harbor freight with a purchase of $4 or more, just watch the ads, you have no excuse. 10 ft or more lengths of wire in multiple gauges up to 10 ga, plus crimp tool, splices, connectors, etc.
--bolts and stuff - my 3rd ammo can is an assortment of about 20 lbs of random bolts, nuts, washers, etc. You would not believe how many times this has saved mine and other peoples asses!
--Toolbox - pretty self explanatory, just make sure you have the normal specialty tools, like a 36mm socket, (what's the pinions nuts, 29mm I think?), brake line flare, etc.
--recovery box - I also keep my welding kit inside this box (welding gloves, goggles, wire brush, 5 different kinds of weld sticks, and electrode clamp/cables to connect batteries together. normally 1/8 electrodes are good for 2 batteries 3/16 need 3 batts
--spare parts - ok this is one of the most important, and can only be built by experience with your jeep and it's stupid personality. for example, mine loves to burn front wheel bearings, hubs, and alternator brushes. Other stuff I carry, all u-joints, wheel bearings front and rear, front hubs (if you're running full width old truck axles like me), alternator, wheel studs, spare belt, spare alternator, vacuum line sections and splices, water pump, fuel pump, TPS, thermostat, etc.
--Dual batteries - yeah, best thing ever, lets say you get drunk and forget you headlights are on, oh wait, you are now a rotting corpse in the desert. unless you have dual batteries, you just switch over, start up, and re-charge the other one
--Air compressor - I'm running a converted AC pump. not just for refilling my 37" tires from 4 psi (yeah I have beadlocks) to 25 psi, but also for my air lockers, and also for running air tools. like once I didn't have the right size allen key to take off my hub to pull out a trashed bearing, so I used the air system to a die grinder to grind down a larger Allen key to get what I needed
This is just a sampling, if you go out alone and get stuck and die, do not blame me, this is just what I found useful!