Food Allergy and Anaphylaxis Management Act of 2005 - Requires the Secretary of Health and Human Services to develop and make available to local educational agencies a voluntary policy to manage the risk of food allergy and anaphylaxis in schools. Directs that such policy address: (1) a parental obligation to provide the school with information regarding a student's food allergy and anaphylaxis; (2) communication strategies between schools and emergency medical services; (3) strategies to reduce the risk of exposure in classrooms and common areas; (4) food allergy management training of school personnel; (5) authorization of school personnel to administer epinephrine when the school nurse is not immediately available; and (6) creation of an individual health care plan tailored to each child's risk for anaphylaxis.