I'm thrilled to be participating in Cricket's classes on Sunday!!! I have my 2nd male brazilian client tomorrow. My current client prefers that I leave the testicles & shaft due to concerns of tearing the skin.
Just saw this post again and realized I didn't even answer your question. A brazilian is anything your client wants it to be. Traditionally, a Brazilian is everything gone leaving a landing strip and a Bare Brazilian is EVERYTHING gone front and back. I do lots of different versions under the heading of "modified Brazilian". Taking it all off is actually easier than leaving some, so you can charge a bit more for customization.