The best strategy games like Fire Emblem Three Houses are Fire Emblem: Three Hopes, Fire Emblem: Path of Radiance and Triangle Strategy. Below are 11, each with the reason it is here — and, at the end, what filtering to strategy costs you.
Filtering to strategy means you want to be making decisions rather than executing them. It is the right filter when what you liked was the planning.
What you get: Losing that teaches you something. A good strategy game makes the reason you lost legible, so the next attempt is different rather than just longer.
What made Fire Emblem Three Houses worth playing in the first place is covered on the full list. This page is the strategy part of that answer, and only the strategy part.
The same cast and the same choice, as a musou — an odd pairing that works.
The series at its most classical, and the best-written of the older entries.
Modern turn-based tactics that takes its political branching seriously.
The best new tactical RPG in years, with an exploration overworld on top.
Branching routes and heavy consequences, from the designers Fire Emblem learned from.
The deepest class system in the genre, and still the high-water mark.
Friendlier than Fire Emblem — units do not die permanently.
The same grid without the characters, and it teaches the fundamentals better.
An indie built directly on Final Fantasy Tactics, with a kinder difficulty.
Squad-based tactics with a campaign long enough to live in.
Advance Wars in fantasy dress, with a level editor.
Pace and immediacy. Strategy games are slow by design, and the good ones expect you to sit with a screen for a while before anything happens.
Specifically, these are strong answers for Fire Emblem Three Houses that are not strategy games, so they are not on this page:
The full list is on games like Fire Emblem Three Houses — 12 picks, no genre filter.
Fire Emblem: Three Hopes. The same cast and the same choice, as a musou — an odd pairing that works.
No. Fire Emblem Three Houses released on the Nintendo Switch, but a recommendation is only useful if you can play it, so the picks above span platforms and eras. What they share is the genre and the reason.
Scale. Tactics is one battle, unit by unit. Strategy is the campaign around it — economy, territory, and which battles to fight at all.
Turn-based ones, yes; the genre started on consoles. Real-time strategy is genuinely worse without a mouse, with a handful of exceptions built for the pad.
By hand. Each pick was written for the full Fire Emblem Three Houses list first, on what the game actually does, and this page is the part of that list that is strategy — never a genre tag lookup, which is how "best racing games like Super Mario 64" used to be a page on this site.
Or read the strategy guide for where to start in the genre generally.