Probably the handgun, body armor, jeep, and flashlight. On the first few days the jeep will offer mobility and storage, while the flashlight is necessary for maximizing the search for gear. Handgun and body armor to give you an advantage over your fellow survivors. Then acquire a boat, food, containers, and other resources and become a pirate. I might consider a fire axe or crow bar necessary if everything wasn't glass doors and easily breakable locks.

crossbow, axe, dog, ak47

The crossbow can be used indefinitely for hunting, the axe can be used for nearly everything, the dog is useful for hunting and protection, the ak47 is an emergency tool. There's going to be less zombies and gas in the wilderness. Why are binoculars, bicycles, and horses not on this list?

Machete, Water Purifier (provided it does not need electricity to work), German Shepherd and the tent. If the water purifier requires electricity, I'd opt for the body armor.

Stuff that requires fuel, electricity or ammo will become obsolete after a certain amount of time, so the flashlight, crossbow, motorcycle, chainsaw etc. only have limited use and become dead weight eventually. The first aid kit might help with "regular" injuries, but is likely useless against zombie bites getting infected with whatever virus is responsible for their mutation. The respirator mask is only useful if there's something dangerous in the air, and will only stay useful until the filter gets too dirty / too old and needs to be replaced.

Jeep, body armour, radio, handgun

Two man tent,axe. and ideally a boy scouts guide and foraging books. Ideally getting myself far way from civilisation as the zombie population is probably just going grow over time

First aid kit would probably be quite useless you can't put a plaster on a deep gushing wound nor take glass out with a couple alcohol wipes

Katana, machete, axe, and body armor so I don't kill myself with all these implements of cutting and hacking.

First aid kit, water purifier, jeep, cb radio. I'm shit out of luck on my own so the radio is to find a survivor enclave, the jeep is to get there, the water purifier and medical supplies are to trade so they'll let me in.

Dog if trained, water purifier, fire axe, AK (if with bullets of around 250), otherwise a flashlight AK maybe priority since I know how to make my own ammo.

invisibility cloak

Jeep, water purifier, first aid kit, katana. Wish I could take flashlight, but it's a 5th option on the list.

No reason to take guns since rounds will be gone quickly and you'll end up with a worthless piece of metal. Chainsaw is clunky and fuel-dependent. Fire axe is also clunky and actually not that good at chopping wood - not to mention you'll make a lot of sounds while doing so. Machete is bad on both fronts. Crossbow - almost perfect, but bolts tend to break too.

Jeep adds to mobility, which is very handy. Fuel-dependent, but then again, with such mobility you can reach some gasoline. Doubles as a place to stay in extreme situations, without losing mobility, rendering it able to escape emergencies.

Water purifier will allow you to move on without acute diarrhea

First aid kit is a must in literally every survival situation. You should be able to prevent infections and restore mobility as quickly as possible

German Shepherd, machete, body armor, and a water purifier. As long as I can minimize encounters and maximize hunting gains, I'll be set for the apocalypse.