Repair of damaged skeletal muscle tissue is limited by the regenerative capacity of native tissue. Current clinical approaches are not optimal for treatment of large volumetric skeletal muscle loss. As an alternative, tissue engineering represents a promising approach for the functional restoration of damaged muscle tissue. A typical tissue engineering process involves the design and fabrication of a scaffold that closely mimics the native skeletal muscle extracellular matrix allowing for organization of cells into a physiologically relevant, 3D architecture. In particular, anisotropic materials, which mimic the morphology of the native skeletal muscle ECM, can be fabricated using various biocompatible materialsto guide cell alignment, elongation, proliferation and differentiation into myotubes. In this article, we first provide an overview of fundamental concepts associated with muscle tissue engineering and the current status of the muscle tissue engineering approaches. We then review recent advances in development of anisotropic scaffolds with micro- or nano-scale features and examine how scaffold topographical, mechanical, and biochemical cues correlate to observed cellular function and phenotype development. Finally, we highlight some recent developments in both the design and utility of anisotropic materials in skeletal muscle tissue engineering along with their potential impact on future research and clinical application.