We report a search for the rare decays B겏h(*)꺥꺥̅ , where h(*) stands for K+, KS0, K*+, K*0, 꺨+, 꺨0, 꺩+, 꺩0 and ϕ. The results are obtained from a 711 fb-1 data sample that contains 772106BB̅ pairs collected at the 꺋(4S) resonance with the Belle detector at the KEKB e+e- collider. We search for signal candidates by fully reconstructing a hadronic decay of the accompanying B meson and requiring a single h(*) meson left on the signal side. No significant signal is observed and we set upper limits on the branching fractions at 90% confidence level. The measurements of B+겏K*+꺥꺥̅ , B+겏꺨+꺥꺥̅ , B0겏꺨0꺥꺥̅ and B0겏꺩0꺥꺥̅ provide the world갽s currently most restrictive limits