Madeleine K. Albright Democracy in the 21st Century Act This bill establishes programs to promote democracy abroad, authorizes Department of State and U.S. Agency for International Development (USAID) democracy programs from FY2023 through FY2027, and addresses related issues. The State Department must establish programs (1) to defend democracy globally, including by enhancing the ability of the State Department and USAID to respond quickly and flexibly to democratic openings and backsliding; (2) to support efforts to enhance government transparency and other activities related to reducing corruption; and (3) for democracy research and development, such as activities to drive innovation in State Department, USAID, and National Endowment for Democracy (NED) responses to complex challenges to democracy. The bill establishes the Democracy in the 21st Century Fund, to be administered by the State Department, to support the programs established by this bill and other related activities. U.S. government assistance for democracy programs shall not be subject to the prior approval of any foreign government. The bill also protects the identities of implementing partners of certain State Department, USAID, and NED assistance programs in countries that are undemocratic or have engaged in gross violations of civil and political rights, including by exempting the names of partners for democracy programs in such countries from Freedom of Information Act requests. The President must report to Congress a comprehensive strategy to promote democracy abroad.