Described are nonaqueous coating material compositions comprising (A) at least one polyhydroxyl group-containing compound, (B) at least one polyisocyanate group-containing compound having free or blocked isocyanate groups, (D) at least one catalyst (D) based on a zinc-amidine complex which is preparable by reacting one or more zinc(II) biscarboxylates with an amidine of the formula (I) or with a mixture of two or more amidines of the formula (I)
and (S) at least one monomeric aromatic optionally substituted carboxylic acid (S) whose carboxyl group is in conjugation with a π-electron system, wherein the component (B) comprises at least one structural unit —NR—(X—SiR″x(OR′)3-x) (II), and/or at least one structural unit —N(X—SiR″x(OR′)3-x)n(X′—SiR″y(OR′)3-y)m (III). Also described are multistage coating methods, and the use of the coating material compositions.