Epoxidations, heteroatom oxidations, and Y‐H insertions constitute the best investigated oxidations by dioxiranes. This article concerns epoxidation of the double bonds in the cumulenes, such as allenes, acetylenes, and arenes; the oxidation of heteroatom functionalities, mainly lone pairs on sulfur, on nitrogen, and on oxygen as the deoxygenation of
N‐
oxides; the oxidation of C = Y functionalities, Y‐H insertions such as in C‐H alkanes, and Si‐H silanes; and the oxidation of organometallic substrates including metal and ligand‐sphere oxidation.