Anhydrous cosmetic stick compositions containing a continuous phase of a water-immiscible cosmetic oil structured by a fibre-forming amido structurant and containing a suspended particulate antiperspirant or deodorant can suffer from either somewhat poor physical stability when formed, or preparative difficulties using conventional processes for making stick compositions or opaqueness. The problem can be ameliorated or overcome by the use of a combination of amido structurants comprising (i) an N-acylaminoacid amide in which the N-acyl substituent has the formula —CO—RX in which RX represents a branched C6 to C11 alkyl group in combination with a further amido structurant (ii), selected from (iia) N-acylaminoacid amides other than (i), (iib) cyclodipeptides and (iic) a 1,2-di amido-substituted cyclohexane.