Dataset contains results of a 2-D phase field simulation of phase separation and coarsening where the Cahn-Hilliard mobility differs by a factor of 100 between the phases. Interfacial energy is isotropic, and the nominal volume fractions of the phases are 50%-50%. The types of data included are raw simulation output, interfacial shape distributions (ISDs), and a spreadsheet of characteristic quantities for the structure. Details regarding the simulation and characterization methods can be found in our paper located at https://doi.org/10.1016/j.commatsci.2019.109418. The authors acknowledge support from the US Department of Energy under Grant No. DE-SC0015394.