A smooth, dry-feeling, less-greasy, substantially-odorless, ecotoxicologically-safe, wax-based composition with a melting point above 25° C., comprising one or more wax components selected from dialkyl carbonates, dialkylene carbonates, and mixtures of two or more thereof less than 10%, by weight, of water and (c) optionally, one or more components selected from the group consisting of one or more wax or oil components selected from the group consisting of dialkyl ethers, dialkylene ethers, dicarboxylic acids, hydroxyfatty alcohols, and mixtures of two or more thereof, as well as one or more wax-like lipid components, other than those in previously listed, one or more other oil components, liquid at 20° C. and immiscible with water at 25° C., other than those previously listed, one or more emulsifiers, one or more zwitterionic, amphoteric, cationic or anionic surfactants, one or more other auxiliaries and/or additives, and one or more physiologically-active components, which compositions are useful in a cosmetic, personal hygiene and/or body-care preparation.