This dataset contains the fraction recrystallized over time for 11 simulations of recrystallization and grain growth. A spreadsheet is provided which has the fraction recrystallized and nominal simulation time (outputs from phase field simulations) and corrected times for all data. The data is from two-dimensional (2D) and three-dimensional (3D) phase field simulations of recrystallization and grain growth. These simulations are as follows: six 2D simulations with different seed locations, one 3D simulation, two additional simulations with different initial conditions (changing dislocation density and grain boundaries), and two simulations for four sets of stored energy and grain boundary energy. This work was funded by a grant from the United States' Office of Naval Research (ONR Grant N00014-12-1-0013). Computational resources and services were provided by Advanced Research Computing at the University of Michigan, Ann Arbor, MI, USA and the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation grant number ACI-1053575. University of Michigan