Current refrigeration technologies based on compression cycles of greenhouse gases are environmentally threatening and cannot be scaled down to on-chip dimensions. Solid-state cooling is an environmentally friendly and highly scalable technology that may solve most of the problems associated with current refrigerant methods. Solid-state cooling consists of applying external fields (magnetic, electric, and mechanical) on caloric materials, which react thermally as a result of induced phase transformations. From an energy efficiency point of view, mechanocaloric compounds, in which the phase transitions of interest are driven by mechanical stresses, probably represent the most encouraging type of caloric materials. Conventional mechanocaloric materials like shape-memory alloys already display good cooling performances however in most cases they also present critical mechanical fatigue and hysteresis problems that limit their applicability. Finding new mechanocaloric materials and mechanisms able to overcome those problems while simultaneously rendering large temperature shifts, is necessary to further advance the field of solid-state cooling. In this article, we review novel families of mechanocaloric materials that in recent years have been shown to be specially promising in the aspects that conventional mechanocaloric materials are not, and which exhibit unconventional but significant caloric effects. We put an emphasis on elastocaloric materials, in which the targeted cooling spans are obtained through uniaxial stresses, since from an applied perspective these appear to be the most accomplished. Two different types of mechanocaloric materials emerge as particularly hopeful from our analysis, (1) compounds that exhibit field-induced order-disorder phase transitions involving either ions or molecules (polymers, fast-ion conductors, and plastic crystals), and (2) multiferroics in which the structural parameters are strongly coupled with polar and/or magnetic degrees of freedom (magnetic alloys and oxide perovskites).Keywords: solid-state cooling, caloric materials, field-induced transformations, entropy potential positive impact in world's sustainability caused by even modest improvements in energy efficiency is enormous. Meanwhile, for microchips to perform optimally the heat generated by electric currents needs to be removed; efficient micro-sized coolers operating near room temperature, therefore, are pressingly needed for successful engineering of faster and more compact electronic devices.Solid-state cooling is an environmentally friendly, highly energy-efficient, and highly scalable technology that may solve most of the problems associated with current refrigerant methods. Solid-state cooling relies on caloric materials and the application of external fields. In caloric materials reversible temperature shifts are achieved through the application/removal of electric, magnetic, or mechanical fields that render electrocaloric, magnetocaloric, or mechanocaloric effects, respectively. These caloric effects are ori...