Family-sponsored visas are a type of immigration visa that allows U.S. citizens and lawful permanent residents to bring certain family members to live in the United States. These visas are designed to reunite families and can be categorized into immediate relative visas and family preference visas, depending on the relationship between the sponsor and the applicant. Immediate relatives include spouses, unmarried children under 21, and parents of U.S. citizens, while family preference visas cover other relatives like siblings and married children. The process involves filing a petition with the U.S. Citizenship and Immigration Services and meeting specific eligibility requirements.