Artificial spin ices (ASIs) are arrays of Isinglike magnetic nanoislands that are of interest for magnetically reconfigurable computing architectures. Many ASI studies use the metal permalloy, which facilitates geometry-driven studies but leaves material-driven factors largely unexplored. Here the authors study nanoisland magnetic states in ASIs fabricated from the complex oxide La${}_{0.7}$Sr${}_{0.3}$MnO${}_{3}$ (LSMO), and find that both Ising and vortex states can be stabilized through a careful balance of inter- and intraisland energetics enabled by LSMO's magnetic parameters. These tunable magnetic states provide opportunities to introduce exotic phases into ASI arrays.