Topological phases in two dimensions are characterized by their anyon content and are described by a topological field theory in the long wavelength limit. Kitaev's toric code and their variations are a realization of such phases, with the well known example being that of the Z_2 toric code that finds application in quantum error correction. The color code is an alternative to the toric code describing the Z_2 x Z_2 phase in two dimensions. We show that there are many more color codes that are not equivalent to the original color code by a local unitary map but nevertheless they are LU equivalent with the original color code in the long wavelength. We exhaust all such codes and look at their usefulness for quantum error correction.