Most of the time when we are out exploring, my girl and I are alone. That being said, certain modifications have been performed and equipment added to increase capability, reliability and durability for long range off road travel:
Warn winch 9k
dual batteries with isolator setup
OME suspension Prado heavy duty
Sway bar disconnects
Snorkel
Extra rations and water
at least 3 methods of starting a fire
medical kit including trauma supplies
spare parts including seals, CVs, fluids, etc.
shovel and axe
farm jack with various attachments
lots of armor underneath, front and rear
lots of lights, above and below
diff breathers
CB radio, soon to add a HAM radio as well
navigation instruments
on board air
tire repair kit (including can of starter fluid

)
bug out bag with bivy shelter
hiking boots with extra socks
pistol
SPOT (with at least one of the contacts being a person with a rig at least as capable as yours)
tow strap
tree saver strap
winch line extension
kinetic recovery strap
4 d shackles
snatch block
2 winch remotes and spare solenoid
good pair of gloves (important)
chocker chain
wheel choks
2 tire pressure guages
proper tools to complete most repairs in the feild
paracord
scan guage
jb weld
extra fuel (if needed)
good multi tool
couple hundred $$$ cash (it talks)
On longer trips (more than 1 week), we usually go with at least one other vehicle, and sometimes pull a trailer with additional supplies, including 3000 watt power inverter and portable welder.
We have been doing this a long time. Its better to have it and not need it than need it and not have it, within reason.
We have been very stuck in some very inaccessable places through the years, but have always managed to make it out, most of the time unaided.
The point of all this is... if you decide to venture out alone... it means there is nobody else (duh!), so whatever happens, it is up to you to: fix it, defend against it, or make it out alive. For short wheeling trips close to town, it can be a hassle, but out in the middle of nowhere (north rim GC for example), the inability to cope with these potential problems can cost you your life.
It is always safer to wheel with at least one other rig. Recoveries are much easier and the odds are against both trucks breaking down at the same time, leaving one still able to go get help if needed. Do not count on your cell phone. At the very least, get a farm jack and rigging equipment and learn how to use it, as it can be very dangerous when improperly used. Always know where you are. Always be prepared to walk out.