We analyze the localization properties of two-dimensional systems based on partite lattices with a basis. Contrary to standard results, we find that a band of critical states emerges for systems in the unitary class A preserving spin symmetry when disorder is unevenly distributed over the basis atoms. The critical metal arises when the less disordered sublattice is connected and has time-reversal symmetry broken. The unexpected robustness to disorder presented here is an appealing result which can be measured in optical lattices. FCT (Portugal) through Grant No. EXPL/FIS-NAN/1728/2013. This research was supported in part by the Spanish MINECO Grants No. FIS2014-57432-P and No. PGC2018-099199- B-I00, the European Union Structural Funds, and the Comunidad de Madrid NMAT2D-CM Program (Grant No. S2018-NMT-4511).