Equality Act This bill prohibits discrimination based on sex, sexual orientation, and gender identity in areas including public accommodations and facilities, education, federal funding, employment, housing, credit, and the jury system. Specifically, the bill defines and includes sex, sexual orientation, and gender identity among the prohibited categories of discrimination or segregation. The bill expands the definition of public accommodations to include places or establishments that provide (1) exhibitions, recreation, exercise, amusement, gatherings, or displays; (2) goods, services, or programs; and (3) transportation services. The bill allows the Department of Justice to intervene in equal protection actions in federal court on account of sexual orientation or gender identity. The bill prohibits an individual from being denied access to a shared facility, including a restroom, a locker room, and a dressing room, that is in accordance with the individual's gender identity.