Accurate measurements of magnetic losses in laminations are a prerequisite for their theoretical assessment, as well as for satisfying calculations of energy dissipation in engineering systems. The standardized and universally applied measurement method, used as a reference for the definition of the material quality in the specification standards, is based on the Epstein test frame magnetizer. Its success relies on the reproducibility of the performed measurements. Its limitations come, on the one hand, from cumbersome sample preparation and, on the other hand, from a certain divergence of the measured loss figures from the true loss figures. Similar systematic differences between measured and true loss values are also observed with the standard Single Sheet Tester method. In both cases, measurements under bi-dimensional induction are or cannot be envisaged. The design of new measurement setups and magnetizers overcoming the drawbacks of the Epstein and Single Sheet Tester methods and possibly becoming recognized Standards in the future is welcome, but challenging. This paper is devoted to a comprehensive discussion of the state of the art in the alternating and two-dimensional measurements of energy losses in soft magnetic materials for electrical applications. We will summarize, in particular, measuring solutions proposed in the current literature and we will discuss in detail recent developments achieved in the authors' labs regarding 1D measurements with compensated permeameters and 2D measurements at high inductions and high frequencies.