The development of recyclable epoxy thermoset is a major area of research interest today due to their environmental threats and non-sustainability. Recyclable products have recently gained a lot of interest as an intriguing class of regenerating thermoset due to their capability to display strength, durability, and corrosion resistance approaching that of conventional thermosets, while displaying end-of-life recyclability. This review article summarizes the most recent and significant advances in different reversible dynamic bonds such as Diels–Alder, ester, phosphate-ester, boronic-ester, vinylogous urethane, disulfide, imine, diselenide, thioester, acetal, urea, and hemiaminals/hexahydrotriazines containing curing agents that can cure traditional or recently developed epoxy resins for producing reversible epoxy thermosets. Particular emphasis is given to synthesis approaches and curing performances of intrinsically recyclable epoxy curing agents for the development of next-generation epoxy thermosets. The mechanical, thermomechanical, thermal, and recycling properties of the epoxy thermosets cured by dynamic adaptable networks (DANs) containing curing agents are also investigated. Finally, challenges, opportunities and emerging trends in the field are also addressed. Therefore, it would be desirable for both industry and academia to appropriately formulate distinctive curing agents for epoxy resins adopting various chemistries.