The Federal Insurance Office Elimination Act eliminates the Federal Insurance Office and the position of its Director within the Department of the Treasury. It transfers certain responsibilities and authorities previously held by the office to other entities, such as the Secretary of the Treasury and the Board of Governors. The act also makes related amendments to the Dodd-Frank Wall Street Reform and Consumer Protection Act and the Economic Growth, Regulatory Relief, and Consumer Protection Act to reflect these changes. This bill does not repeal or limit the Secretary of the Treasury's authority over insurance-related matters.