It will matter what terrain as well as whether its a solo trip vs a group trip.
My LJ is my solo trip rig so I carry a backpack ( easy to grab and move around) with 2 snatch blocks, winch controller, tree strap, d-ring shackles, tire plug kits, tire deflaters and some rags. Kinetic ropes won't help if there is nobody to pull you. To be fair pretty much all of my trips are solo no matter the vehicle.....
My compass I try not to get into too much trouble, however this next weekend I am taking it into somewhat uncharted territory ( for me). I will be taking the tree straps, traction boards, hi-lift, and a tow strap.
Also I have a winch anchor thatbi bring with me in the LJ when I know I will be in areas with less trees ( not very often where I live but does happen from time to time).
....
I guess basics would be a tow strap, tow points, some sort of shackle, some way to move forward or backwards ( winch, traction boards, hi-lift, come-along...) and a full size spare or tire repair kit. Some others may also include a shovel and other things .... as people come to you can pick and choose what's right from you.
My kits are ot really basic and havnt been in many years lol. Most of the time I hope I never have to reach into it.