T lymphocytes are characterized by the use of structurally diverse TCR. The discovery of subsets of canonical T cells that have structurally homogeneous TCR presents an enigma: What antigens do these T cells recognize, and how does their antigen specificity relate to their functions? One subset of canonical T cells is restricted by CD1d, a non‐classical antigen presenting molecule that presents lipids and glycolipids. Canonical CD1d‐restricted T cells have semi‐invariant TCR consisting of an invariantly rearranged TCRα chain, paired with diversely rearranged TCRβ chains. Most respond strongly to the unusual glycolipid α‐galactosylceramide (α‐GalCer), and can also respond to cellular antigens presented by CD1d. Mounting evidence indicates that α‐GalCer responsive T cells are heterogeneous in their reactivities to cellular antigens, suggesting that an individual semi‐invariant TCR may be capable of recognizing more than one ligand. Recent crystal structures of CD1b molecules with three different bound lipids indicate that the antigenic features of lipids may be localized over a smaller area than those of peptides, and that the positioning of the polar head group can vary substantially. A model that explains how CD1d‐restricted T cells could possess both conserved and heterogeneous antigen specificities, is that different lipid antigens may interact with distinct areas of a TCR due to differences in the positioning of the polar head group. Hence, canonical CD1d‐restricted TCR could recognize conserved antigens via the invariant TCRα chain, and have diverse antigen specificities that are conferred by their individual TCRβ chains.