We give examples of locally trivial continuous-trace C[a]-algebras not isomorphic to their opposite algebras. Our examples include a unital C[a]-algebra which is both stably isomorphic to and homotopy equivalent to its opposite algebra, a unital C[a]-algebra which is homotopy equivalent to but not stably isomorphic to its opposite algebra, and a unital C[a]-algebra which is not even stably homotopy equivalent to its opposite algebra.