Requires the administration of certain vaccines for children in accordance with regulations issued by the commissioner, utilizing generally accepted medical standards and based on recommendations of the American Academy of Pediatrics, the American Academy of Family Physicians, the American College of Obstetricians and Gynecologists, the American College of Physicians, the Advisory Committee on Immunization Practices, and/or other similar nationally or internationally recognized scientific organizations; removes certain requirements for vaccines to be administered under federal guidance.