Although sexuality, reproductive health, and starting a family are human rights that should be guaranteed for all citizens, they are still taboo issues for people with intellectual disability (ID), and even more so for women with ID. This paper systematically reviews the current qualitative and quantitative evidence on the rights of people with ID in regard to Articles 23 (right to home and family) and 25 (health, specifically sexual and reproductive health) of the Convention on the Rights of Persons with Disabilities (CRPD). A systematic review of the current literature, following PRISMA 2020, was carried out in ERIC, PsychInfo, Scopus, PubMed, ProQuest, and Web of Science. In all, 151 articles were included for review. The studies were categorized into six themes: attitudes, intimate relationships, sexual and reproductive health, sexuality and sex education, pregnancy, and parenthood. There are still many barriers that prevent people with ID from fully exercising their right to sexuality, reproductive health, and parenthood, most notably communicative and attitudinal barriers. These findings underline the need to continue advancing the rights of people with ID, relying on Schalock and Verdurgo’s eight-dimensional quality of life model as the ideal conceptual framework for translating such abstract concepts into practice and policy.