The best strategy games like Shining Force II are Fire Emblem: Three Houses, Shining Force III and Unicorn Overlord. 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 Shining Force II 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 genre's current standard, with the same recruit-and-build structure.
The Saturn entry, and the most ambitious in the series.
The best new tactical RPG in years, and it shares the exploration overworld.
Sega's other Saturn strategy game, at much larger scale.
PS1 tactics with the same friendly pace.
Class-change tactics built on the Final Fantasy Tactics model.
Modern turn-based tactics with a serious story.
Commanders with squads, remastered and easy to get.
An indie strategy RPG built for exactly this audience.
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 Shining Force II — 9 picks, no genre filter.
Fire Emblem: Three Houses. The genre's current standard, with the same recruit-and-build structure.
No. Shining Force II released on the Sega Genesis, 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 Shining Force II 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.