Competitive interactions between cells are the basis of many homeostatic processes in biology. Some of the best-described cases of competition between cells occur in Drosophila: cell competition, whereby somatic cells within a growing epithelium compete with one another for contribution to the adult, and stem cell competition, in which germline or somatic stem cells vie for residency in the niche. Both types of competition are conserved physiological processes, with much to tell us about how cellular neighborhoods influence cell behavior, and have importance to stem cell biology, regeneration and transplantation, and cancer.