The antibody-binding Fc γ receptors (FcγRs) are expressed by leukocytes and activate or suppress a cellular response once engaged with an antibody-coated target. Therapeutic monoclonal antibodies that require FcγR binding for therapeutic efficacy are now frontline treatments for multiple diseases. However, substantially fewer development efforts are focused on the FcγRs, despite accounting for half of the antibody/receptor complex. The recent success of engineered cell-based immunotherapies now provides a mechanism to introduce modified FcγRs into the clinic. FcγRs are highly heterogeneous due to multiple functionally distinct alleles for many genes, the presence of membrane-tethered and soluble forms, as well as a high degree of posttranslational modification, notably asparagine (N)-linked glycans. One significant factor limiting FcγR improvement is the fundamental lack of knowledge regarding endogenous receptor forms present in the human body. This review describes the composition of FcγRs isolated from primary human leukocytes, summarizes recent efforts to engineer FcγRs and concludes with a description of potential FcγR features to enrich for enhanced function. Further understanding FcγR biology could accelerate development of new clinical therapies targeting immune-related disease.