Basic Wilderness Survival skills
You might want to consider taking a wilderness survival course. Even if you live in an urban environment, these skills will come in handy during the zombie apocalypse. Specific skills include how to build a fire, How to build a shelter, How to Snare Dinner in the Wild (also a good skill to capture and exterminate Zombies) and How to Avoid Hypothermia. Knowing how to kill zombies is useless if you die of starvation or exposure.
It will be a crazy time and people will get hurt. I’m not talking about treating zombie bites here. Those people are doomed. It’s all of the other wounds and injuries that will need treating, so know how to treat them! Everything from cuts, sprains and broken bones, to bullet wounds and third degree burns. Learn how to dress a wound, make a splint, stop bleeding and how to treat a burn. Learn CPR. Once you’ve mastered all of that, you may want to learn some more advanced procedures. Because if you group up with other survivors, it doesn’t matter how much of an asshole you are*, if you can remove a bullet and suture the wound, they will keep you around and keep you safe.
Combat and Self-Defense
There are two types of people you will need to defend yourself from: Dead ones that want to eat you and alive ones that want to take things from you. Or are possibly just jerks. Either way, you’ll want to know how to defend yourself from both types. Consider taking some self-defense classes, or perhaps a martial art or two. Learn how to handle a firearm without blowing off an appendage.
Other skills you may want to consider
Construction - For building a shelter and barricading doors and windows. It would suck to die in your sleep because of a poorly barricaded door.
Welding - Welding can be also be used in barricading and shelter construction. It can also be used to create zombie traps and other such booby-traps.
Electrical repair - If your group has a means of distance communication (walkie talkies, cb radio, etc), you will want someone around who can fix it if it breaks. You can’t just go out an buy new ones, you know.
Sewing - Again, you can’t just go out and buy new clothes every time something gets worn or rips. There will probably lots to be looted and scavenged in early days, but that wont last forever.
Did I miss anything? What skills do you think will be most important for surviving the zombie apocalypse?
*Don’t be an asshole. (This is a good life rule in general)