Strategy is the broadest genre on this list, so we tested across its sub-types rather than forcing them into one ranking: turn-based 4X empire-builders, real-time tower defense, quick tactical puzzlers, and competitive head-to-head. The phone is a brilliant strategy machine — you can pause, think, and play a turn while the kettle boils — but only if the controls and pacing respect the small screen. That's what separated our top picks.
For depth, Civilization VI is the full desktop 4X experience in your pocket: build a civilization from a single settler to a space race across hours-long games, with the complete rules intact. At the other end, Into the Breach is a perfect-information tactics puzzle where every battle is a solvable chess problem in eight tiles — ideal for short, brain-stretching bursts. Bad North sits in between: a gorgeous, real-time island-defense game that's instantly readable yet surprisingly deep.
Tower defense remains iOS's comfort food, and Kingdom Rush and Bloons TD 6 are the genre's gold standard — dozens of hours of hand-crafted levels with no aggressive monetisation. For competitive players, Clash Royale's real-time duels are still the benchmark for fair, skill-based mobile PvP, while Polytopia is the best 'one more turn' game to play against friends.
More strategy worth installing: genre highlights that just missed the cut — the endlessly replayable FTL: Faster Than Light, the roguelike-tactics blend of Shattered Pixel Dungeon and Slay the Spire, the grim brilliance of Plague Inc., and the tiny-but-deep 4X of The Battle of Polytopia. For more brain-benders see our puzzle games and tower defense guides.