The advent of organoid technology has enabled scientists and clinicians to utilize cells from primary tissues or pluripotent stem cells (PSCs) to grow self-organizing tissue systems, thus attaining cellular diversity, spatial organization, and functionality as found within digestive tracts. The development of human gastrointestinal (GI) and hepato-biliary-pancreatic organoids as an in-a-dish model present novel opportunities to study humanistic mechanisms of organogenesis, regeneration and pathogenesis. Herein, we review the recent portfolios of primary tissue-derived and PSC-derived organoids in the digestive systems. We also discuss the promise and challenges in disease modeling and drug development applications for digestive disorders.