The now famous term ‘restriction’ derived from experiments in which T cells from donor A failed to recognize antigens presented by cells from donor B. Restriction results from interdonor variation in major histocompatibility complex (MHC) genes. Donor restriction dominates immunologists' thinking about T cell response because it governs organ transplantation and hinders discovery of disease-associated antigens. However, other T cells can be considered ‘donor unrestricted’ because their targets, CD1a, CD1b, CD1c, CD1d or MR1, are expressed in a similar form among all humans. A striking feature of donor unrestricted T cells is the expression of invariant T cell receptors (TCRs) with nearly species-wide distribution. Here we review new evidence that donor unrestricted T cells are common in humans. NKT cells, MAIT cells and germline-encoded mycolyl-reactive (GEM) T cells operate outside the familiar principles of the MHC system, providing a broader picture of T cell function and new opportunities for therapy.