Coronavirus disease 2019 (COVID-19), caused by the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), has been spreading globally and threatening public health. Advanced in vitro models that recapitulate the architecture and functioning of specific tissues and organs are in high demand for COVID-19-related pathology studies and drug screening. Three-dimensional (3D) in vitro cultures such as self-assembled and engineered organoid cultures surpass conventional two-dimensional (2D) cultures and animal models with respect to the increased cellular complexity, better human-relevant environment, and reduced cost, thus presenting as promising platforms for understanding viral pathogenesis and developing new therapeutics. This review highlights the recent advances in self-assembled and engineered organoid technologies that are used for COVID-19 studies. The challenges and future perspectives are also discussed.