Access to Employment and English Acquisition Act of 2003

Access to Employment and English Acquisition Act of 2003 - Amends the Workforce Investment Act of 1998 to provide for: (1) job training that integrates occupational skills training with language acquisition; and (2) specified services for individuals who are Limited English Proficient (LEP).

Authorizes the Secretary to award incentive grants to States for exemplary performance in carrying out integrated training programs.

Directs the Secretary to carry out demonstration, pilot, multiservice, and multistate projects that provide training to establish or upgrade the job and related skills of special participant populations that face multiple barriers to employment, including low-income individuals with substantial language or cultural barriers, offenders, homeless individuals, or other hard-to-serve populations.

Amends the Adult Education and Family Literacy Act with respect to adult education and literacy services to assist immigrants who are not proficient in English in improving their reading, writing, speaking, and mathematics skills and acquiring an understanding of the American free enterprise system, individual freedom, and the responsibilities of citizenship.

Authorizes the national leadership activities of the Secretary of Education to include awarding grants to communities experiencing large increases of individuals with Limited English Proficiency for the purpose of providing English language and civics education programs.