The invention relates to coating material compositions for, for example, metallic, mineral substrates or for substrates of wood, paper and plastics, which comprise yellowing-resistant, low-viscosity, unsaturated, amorphous polyesters which are very largely free of benzene and formaldehyde, as a result of which the adhesion of these coating material compositions is improved even under critical ambient conditions, and to a preparation process and use of said compositions. More specifically, the invention relates to coating material compositions, substantially including 1, yellowing-resistant, low-viscosity, unsaturated, amorphous polyesters which are very largely free of benzene and formaldehyde; 2, at least one other adhesive; 3, at least one accessory ingredient and / or additive; 4, at least one colorant and / or stuffing. The yellowing-resistant, low-viscosity, unsaturated, amorphous polyesters are composed by the following components: I. acid components, made up of A) at least one alpha, beta-unsaturated dicarboxilic acid, and B) at least one linear and / or branch fatty group and / or alicyclic and / or aromatic bifunctional and / or polyfunctional carboxyl acid, which is not provided with alpha, beta-unsaturated part; II. alcohol components, made up of C) bis(hydroxymethyl)tricyclo compounds and D) at least one bifunctional and / or polyfunctional alcohol, wherein, based on the polyesters, the content of benzene is lower than 10mg / kg and the content of formaldehyde is lower than 10mg / kg, the molecular weight distribution polydispersity of the polyesters is 1.3-4.5, the content of tricyclodecane(mono- / di-)aldehyde in the bis(hydroxymethyl)tricyclo compound C) is lower than 2 weight percent; mono(hydroxymethyl)tricyclo [5.2.1.0<2,6>] decane in the compound C) is lower than 10 weight percent, and the content of chromium, nickel, copper, cadmium and plumbum in the compound C) is lower than 2mg / kg.