Access to Appropriate Immunizations for Veterans Act of 2013 - Includes within authorized preventive health services available to veterans through the Department of Veterans Affairs (VA) immunizations against infectious diseases, including each immunization on the recommended adult immunization schedule established by the Advisory Committee on Immunization Practices.

Requires the inclusion, in an annual report from the Secretary of Veterans Affairs on VA preventive health services, of programs conducted to ensure that veterans have received each immunization on such immunization schedule at the appropriate time.

Directs the Secretary to develop and implement quality measures and metrics to ensure that veterans receiving VA medical services receive each immunization at the time indicated on the schedule. Requires statistics related to such quality measures and metrics to be included in the annual report described above. Provides deadlines for the establishment and implementation of the measures and metrics.