Power semiconductor devices are key to delivering high efficiency energy conversion in power electronics systems, which is critical towards efforts in reducing energy loss, cutting carbon dioxide emissions and creating more sustainable technology. While the use of wide or ultra-wide bandgap materials will be required in order to create improved power devices, multidimensional architectures can also improve performance, regardless of the underlying material technology. In particular, multidimensional device architectures -such as superjunction, multi-channel and multi-gate technologies -can enable advances in the speed, efficiency, and form factor of power electronics systems. Here we review the development of multidimensional device architectures for efficient power electronics. We explore the rationale for using multidimensional architectures and the different architectures available. We also consider the performance limits, scaling, and material figure-of-merits of the architectures, and identify key technological challenges that need to be addressed in order to realize the full potential of the approach.