What jobs require Anatomy and Physiology training?

It is not dependent upon the job, it is dependent upon the college you go to. For example you can major in dental hygiene at one university and they may require A&P as a core requirement while another may not. Most of your medical majors such as (dental hygiene, nursing, sonography, etc) will require A&P. You will just need to look at your schools specific under graduate requirements to see if A&P is required.