The best strategy games like Valkyria Chronicles are Valkyria Chronicles 4, Fire Emblem: Three Houses and Triangle Strategy. Below are 9, 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 Valkyria Chronicles 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 direct return to form after the handheld entries.
The genre's current standard, with the roster-building to match.
Modern turn-based tactics that takes its politics seriously.
Mechs, tactics, and a war story that does not flinch.
Class-change tactics built on the Final Fantasy Tactics model.
The best new tactical RPG in years.
If the tension of a unit under fire is what you want, at greater scale.
The cleanest expression of turn-based warfare, and it teaches as it goes.
Campaign management plus tactical battles.
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.
The full list is on games like Valkyria Chronicles — 9 picks, no genre filter.
Valkyria Chronicles 4. The direct return to form after the handheld entries.
No. Valkyria Chronicles released on the PlayStation 3, 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 Valkyria Chronicles 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.