Reductive elimination is a crucial bond-forming elementary reaction in various transition-metal mediated reactions. Apart from the well-developed classic reductive elimination, the non-classic reductive elimination occurring between a covalent ligand and a dative ligand, which has been known for over 50 years, has gradually attracted much attention from the organic community. By avoiding pπ-dπ repulsion between the filled metal d-orbital and the filled ligand p-orbital and forming a cationic-type molecule, non-classic reductive elimination could facilitate many catalytic reactions that were difficult to be realized via classic reductive elimination. In this review, transition-metal catalyzed C-P, C-S, C-N, and C-C bond-forming reactions with non-classic reductive elimination as the key elementary step are summarized.