This paper reviews the degradation of polyesters and polycarbonates, including degradable aliphatic polymers. Organic catalysts enable efficient degradation and recycling of these condensation polymers, promoting a circular economy and reduction of waste and CO2 emissions. Although super engineering plastics are difficult to recycle, recent studies show organocatalysts can facilitate their depolymerization and monomer recovery. Advances in monomer synthesis and controlled ring-opening polymerization allow for functional, sustainable, and degradable polymers. Moreover, side-chain engineering in aliphatic polymers enables controlled degradation. Future work should emphasize greener synthesis and comprehensive analysis of degradation impacts.