Macromolecular materials based on renewable resources constitute a rapidly growing family of sustainable polymers which are synthesized following three distinct approaches, viz. (i) the use of renewable resources to prepare commodity polymers, such as poly(ethylene), traditionally based on fossil counterparts; (ii) the chemical modification of natural polymers; and (iii) the polymerization of monomers and macromonomers derived from renewable resources. Whereas the first approach simply provides alternative and sustainable routes to common current materials, the other strategies represent means to elaborate novel polymers with original, and often unique, properties. Here, after a brief treatment regarding the first topic, emphasis is placed on the latter two, with materials based on (ii) cellulose and nanocelluloses, hemicelluloses, starch, chitin and chitosan, lignin, suberin, proteins, natural rubber, and bacterial poly(hydroxyalkanoate)s on the one hand, and, on the other hand, on (iii) plant oils, glycerol, furans, terpenes, rosin, sugars, tannins, and lactic acid. Several instances are provided of materials involving the intervention of more than one of these precursors. The discussion of the chemical processes leading to these new polymers is complemented by their characterization and most relevant properties and applications. The additional implementation of green chemistry features to enhance sustainability is also highlighted whenever appropriate.