Energy Independence for a Strong America Act of 2004 - Directs the Secretary of the Interior to conduct a sale of oil and gas leases on all submerged lands of the Outer Continental Shelf in the Eastern Gulf of Mexico that: (1) are depicted on a specified Minerals Management Service document as "Leased or Deferred--Not Offered;" and (2) are not subject to a lease under the Outer Continental Shelf Lands Act.