nodnarb22 wrote:What is this full set you reference?
At the very least, two fermenting vessels (food-grade plastic bucket, glass carboy, both, or a combination), a 3+ gallon pot, hydrometer, siphon, and siphoning tube.
Optional equipment would include a turkey baster, strainers, and bottle capper. And cases of bottles (kegging is a more advanced concept, and beginners who haven't brewed their first few batches yet should wait until they get more experience before jumping into kegging).
It's a tad complex to get into here, but brewing beer is essentially just following a recipe for anything. The difference between beer brewing and cooking a meal for yourself is that sanitation is MUCH more critical, as is patience!
Any decent homebrew supply shop, whether brick-and-mortar or on-line, sells decent starter kits, as well as beer recipe kits. The big difference is deciding whether to spend $150 - 200 on that vs the $20 here to get your feet wet on the concepts and practice.
I doubt any aspiring homebrewer is going to stick with the Mr. Beer kit for very long, since its capacity is only 2 gallons. But if it comes with easy instructions and is a self-contained system that isn't too complex, as long as it teaches the beginner the concepts of steeping grain, pitching yeast, and patience in fermenting, that's all that anyone needs to get started.