Provided are engineered cells for adoptive therapy, including NK cells and T cells. Also provided are compositions for engineering and producing the cells, compositions containing the cells, and methods for their administration to subjects. In some aspects, features of the cells and methods provide specificity and/or efficacy. In some embodiments, the cells contain genetically engineered antigen receptors that specifically bind to antigens, such as chimeric antigen receptors (CARs) and costimulatory receptors. In some embodiments, the cells include receptors targeting multiple antigens. In some embodiments, the cells include repression of one or more gene product, for example, by disruption of a gene encoding the gene product. In some embodiments, a gene encoding an antigen recognized by the engineered antigen receptor is disrupted, reducing the likelihood of targeting of the engineered cells.
