Solid catalysts usually consist of multicomponents, within which interfacial interactions have been recognized as a key factor affecting structures and catalytic performance. Metal−support interactions (MSI) have been extensively studied in oxidesupported metal catalysts (metal/oxide catalysts), in which the important concepts of strong metal−support interactions (SMSI) and electronic metal−support interactions (EMSI) have been well established and their effects on the metal catalysis have been extensively demonstrated. Recently, metal-supported oxide inverse catalysts (oxide/metal inverse catalysts) have emerged as a new type of efficient catalysts, in which the oxide−metal interactions (OMI) strongly influence the oxide catalysis. Herein we comprehensively review the progresses on the MSI of metal/oxide catalysts and OMI of oxide/metal inverse catalysts with aims to emphasize structure sensitivity of MSI and OMI and to introduce the concepts of electronic oxide−metal interactions (EOMI) and electronic oxide−metal strong interactions (EOMSI) in oxide/metal inverse catalysts, in analogy to the concepts of EMSI and SMSI in metal/oxide catalysts. First, we briefly introduce the background of the topic and the interfacial interactions between metals and oxides with emphasis on the nature of metal−support interfacial interactions depending on the electronic structures. Second, the MSI, with an emphasis on the EMSI and SMSI, in metal/oxide catalysts is reviewed with an emphasis on the recently exported size and facet effects on the electronic structures and MSI. Third, the OMI in oxide/metal inverse catalysts is reviewed with an emphasis on introducing the EOMI and EOMSI. Finally, a summary and outlook is given with emphasis on the local nature and structure sensitivity of MSI and OMI.