At the beginning, live rock for bio-filtration and some water flow should be more than enough.
After that, "what is required" (not to be confused with "what's popular" or "what's common") really depends on what you decide to keep in the tank and how you decide to keep it.
Using the "Nothing good happens fast in a reef tank." maxim you will have plenty of time to decide what additional measures (if any) will be required for your animals. Skimmers, carbon, resin filters, filter socks, dosers, reactors, etc are all "nice extras" when at your stage, and you may find that some or all of them are unnecessary. None of them are "requirements".
For one simple example, many people use carbon (charcoal is "unactivated carbon") to restore the clarity of their tank water after their animals have fouled it. I don't need to do this - the water I take out and throw away for a water change is just as clear as the water I'm putting in the tank. With what I keep (very dense coral population, very light fish population) this works.
Heck, with a little care and knowledge, even live rock and a skimmer can be considered optional depending on what you're trying to do!
This is why, whenever possible, I encourage newb's to spend as much time as possible considering which animals they plan to keep (skip worrying about the equipment altogether for now), learn what you can about their requirements, and then design the tank around them and use their requirements to make your system. Using this approach can eliminate a lot of worrying and buying of extra equipment vs trying to design a system to account for every animal you might someday consider putting in. It also gives the animals you plan for a much better shot at a long, healthy captive life.
-Matt