I'd make sure you have:
Good spare tire (matching size), jack (working) and lug wrench, basic hand tools (wrenches), tire pressure gauge (ability to air down), air compressor (air up), shovel (good digging one - short shovel), recovery strap (I like the bungee style - Bubba rope), recovery point front and rear, shackle (for attaching rope to vehicle). Can use a shackle hitch adapter and weld on recovery point on the frame in front (if you don't have one). This gives you the best chance to be recovered if you get in over your head.
My opinions:
High lift jacks are terrible and not safe. I don't recommend them. Old school off road guys love them. I've been on trails for 18 years and yet to see them be of benefit. I have seen them slip, tip and fall. They really require a solid connection to the vehicle. I had a locking "slider adapter" that connected to the jack and would cradle a tube slider. I would give it to anyone attempting to use a high lift. It massively helped. But most people don't have good locations to jack using a high lift. Realistically a good axle jack is best for changing tires.
MaxTrax or recovery boards. They are cool but rarely helpful. If you are really stuck your tire will spin on the board or kick it out while the vehicle remains in place. The best case use for them is in sand and possibly snow. I've owned several sets and used the crap out of them. Used them in every situation possible. They were beat to heck. I will say MaxTrax are the best built ones. But what I found was they rarely were the solution. They are heavy, awkward to carry on vehicles, expensive and messy (especially in mud). A good shovel worked better almost always. Nearly every recovery ultimately required digging even with the MaxTrax. It's funny. Most of these boards on "overland" trucks look brand new... clearly not used yet people swear by them and won't leave home without them. I sold all my sets of boards. Been happily rock crawling and overlanding for 4 years without them.
Hope that helps.
