LGBTQ I+ Data Inclusion Act This bill addresses federal data collection of voluntary, self-disclosed information on sexual orientation, gender identity, and variations in sex characteristics. Specifically, the bill requires federal agencies that collect information through a survey for statistical purposes that includes demographic data (where subjects self-report information or a proxy provides information about the subject or responds for all persons in a household) to review existing data sets to determine which data sets do not include information about sexual orientation, gender identity, and variations in sex characteristics. Such agencies must assess needed changes in survey methods related to asking questions on such matters. Agencies that publish reports relying on survey demographic data must include information on sexual orientation, gender identity, and variations in sex characteristics. Agencies may waive this publication requirement on a case-by-case basis if the confidentiality of the information cannot be maintained or if adding such information to the survey would impair the agency's ability to preserve the utility, accuracy, or objectivity of the survey while also generating relevant evidence about the LGBTQI+ community. The Government Accountability Office must report to Congress on the implementation of this bill's requirements by agencies.