This article is from the rec.pets.dogs: Breeding Your Dog, posted to rec.pets.dogs newsgroup. Maintained by Cindy Tittle Moore with numerous contributions by others.
Every breed has a different set of potential problems for it. I have listed common ones below, but this is not to say that all dogs must be checked for everything listed. You need to do research in your breed to find out what the common problems are. You will also need to research the particular bloodlines you are using to see if they are prone to any additional problems you want to know about and screen for as well.