These are the things that I consider to be essential equipment for bread baking: Measuring Cups and Spoons, Large Wooden Spoon, Bench Scraper, Large Mixing Bowl that can double as a Dough-Rising Container, Parchment Paper, Cookie Sheet, Cooling Rack and long-bladed serrated knife (last three not shown; see my favourite cookie sheet here: Saffron Buns; the serrated knife is here: baguette making). Other gadgets (scales, bread stones, thermometers, etc. etc.) are nice to have but are definitely not necessary for even the novice bread bakers to produce wonderful bread in their kitchens.
It's nice to have more than one cooling rack. (The baguette mould in the photo is also a lovely addition but hardly essential.)
I gather that electric mixers are nice to have as well. But I can't really say as I don't have one; nor do I have any desire for one. (No counter space.) A wooden spoon and a bowl works just fine. And I'll bet it takes WAY less effort to wash them!
I must say that I love our oven bread stone, which we use for pita, pizza, and most free form bread. We also have an inexpensive stone that fits in our barbecue. It is fantastic for pizza making on hot summer days. And of course, our peel is extremely handy as well. (In 2009, I was given a SuperPeel and even before using it, knew that it was going to be more than handy - very close to being moved up into the essential section even.) But I've heard of people using cutting boards or upside down cookie sheets instead. And sandwich bread tins are useful as well. And timers!! Windup or digital. Very useful. But NOT essential.
Other useful items are baskets for proofing shaped loaves. In the past, on the rare occasions that I've had the nerve to proof a shaped loaf in a basket, I've lined this wicker bread basket with a floured teatowel. It's worked not too badly but the final decorative markings aren't very dramatic.... A sieve lined with a tea towel works pretty well too. But I'm thinking that this cane brotform will work fabulously! Yes, indeed, baskets are useful but not essential.