Burma Unified through Rigorous Military Accountability Act of 2017 or the BURMA Act of 2017 This bill expresses the sense of Congress that the government of Burma (Myanmar) should ensure the safe and voluntary return of displaced people and fully implement the recommendations of the Advisory Commission on Rakhine State. The U.S. Executive Director of each international financial institution shall use U.S. influence to support only projects in Burma that do not partner or contract with or otherwise benefit any enterprise owned or controlled by the Burmese military. The United States may not supply security assistance or engage in military programs with the Burmese armed forces or security forces until the Department of Defense certifies that such armed forces have demonstrated significant progress in abiding by international human rights standards and are undertaking significant security sector reform. U.S. import restrictions on Burmese jadeite and rubies shall remain in effect until the President certifies that Burma has taken substantial measures to reform its gemstone industry. The President shall: (1) submit a list of each senior Burmese military or security official who has played a substantial role in the commission of human rights abuses or who has failed to investigate human rights abuses, and (2) exclude any such individual from U.S. entry. The President shall determine whether specified individuals should be included in the list of specially designated nationals and blocked persons maintained by the Department of the Treasury's Office of Foreign Assets Control. The Department of State, Treasury, and the U.S. Agency for International Development shall jointly submit to Congress an assistance strategy to promote broad-based economic development in Burma.