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Under the terms of the Creative Commons Attribution License 3.0 (CC-BY). ; We report on the possibility to generate highly anisotropic quantum conductivity in disordered graphene-based superlattices. Our quantum simulations, based on an efficient real-space implementation of the Kubo-Greenwood formula, show that in disordered graphene superlattices the strength of multiple scattering phenomena can strongly depend on the transport measurement geometry. This eventually yields the coexistence of a ballistic waveguide and a highly resistive channel (Anderson insulator) in the same two-dimensional platform, evidenced by a σyy/σxx ratio varying over several orders of magnitude, and suggesting the possibility of building graphene electronic circuits based on the unique properties of chiral massless Dirac fermions in graphene. © 2014 American Physical Society. ; The work by J.G.P. is financially supported by the Danish Council for Independent Research, FTP Grants No. 11-105204 and No. 11-120941. S.R. and A.W.C. acknowledge the Spanish Ministry of Economy and Competitiveness for national project funding (MAT2012-33911) and SAMSUNG for support within the Global Innovation Program. The research leading to these results has received funding from the European Union Seventh Framework Programme under Grant No. 604391 Graphene Flagship. ; Peer Reviewed