Neutralino Dark Matter in non-universal and non-minimal SUSY

We discuss neutralino dark matter in non-universal SUSY including the NUHM, SU(5) with non-universal gauginos. In the MSSM we argue from naturalness that non-universal soft mass parameters are preferred, with non-universal gaugino masses enabling supernatural dark matter beyond the MSSM, we also discuss neutralino dark matter in the U SSM and E6SSM. In the E6SSM a light neutralino LSP coming from the inert Higgsino and singlino sector is unavoidable and makes an attractive dark matter candidate.