This dataset contains results of phase field simulations of coarsening with constant mobility, isotropic interfacial energy, and compositions with nominal volume fractions of 30%, 32%, 34%, and 36%. The types of data included for all four simulations are raw simulation output, interfacial shape distributions (ISDs), and a spreadsheet containing the time evolution of characteristic quantities of the structure. Additional types of data provided for selected structures include the radially-averaged autocorrelations of the segmented phases and the interfacial mean curvature (32% and 36%) and the radially-averaged structure factor of the phase field (36%). In files that contain data from a single simulation time, simulation time is typically indicated in the filename by the iteration number (i.e., the simulation time divided by the time step size, which is 0.05). The authors acknowledge funding from the US Department of Energy (DE-SC0015394, DE-FG02-99ER45782) and the Natural Sciences and Engineering Research Council of Canada (NSERC PGSD3-516809-2018), and computational resources from NSF XSEDE (OCI-1053575, Allocation: TG-DMR110007), and University of Michigan Advanced Research Computing.