Health testing, titling in conformation/working trials, temperament testing, and a really good contract (lifetime health guarantee, will take back any puppy, pet dogs must not be bred and/or must be altered, etc) are BARE bare minimums for me.
I would prefer that all of the dogs are Obedience trained, and hopefully compete in it, regardless of breed. I want proof that the dogs are stable, sane, eager to please, and posess a good off-switch. I also want to see any working breed doing the job they were bred to do on a regular basis and in real-life situations. I would love to see Therapy Dog titles on at least some of the dogs. The dogs should be socialized and sound around all types of people, children, other dogs and other animals. The dogs must not be kept in outdoor kennels, they must be a part of the family, and the puppies must be raised in the home.
As far as the breeder, I STRONGLY prefer that the dogs are fed Raw. I STRONGLY prefer that the breeder practices limited vaccination with their dogs. I also STRONGLY prefer a breeder who allows even pet owners to wait until their puppy is physically/socially mature to alter them (with strict no-breeding clauses for pet dogs of course). It's really important that I befriend them... that they will spend time e-mailing and talking to me on the phone and allow me to visit any time. I want them to be interested in me, my dogs, and everything about the life that their puppy will have with me. I want them to care about my opinion, regarding what kind of puppy I want, as well as give me theirs. I want them to require that they visit me, or I visit them, on a regular basis after buying the puppy. I want them to be there for the lifetime of that puppy, no matter what. I want to be able to see, without doubt, that breeder's passion for their breed and for improving, maintaining, and protecting it.
I suppose I'm kind of picky... but really, if a breeder cannot fit what I want, I would rather save a dog's life in rescue. (which is what happened when I decided to adopt Fozzie)