The best rpg 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 rpg costs you.
Filtering to RPG means you want progression — a character to build or a party to grow — layered on top of whatever else you liked.
What you get: A reason to keep going after the novelty wears off. RPGs are the genre that reliably converts hours into feeling more capable.
What made Shining Force II worth playing in the first place is covered on the full list. This page is the rpg part of that answer, and only the rpg 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.
Immediacy. Almost every RPG asks for a slow first few hours, and the systems that make hour forty good are the same ones that make hour one a menu.
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.
Whether the stats are the point. In an RPG the build decides what you can do; in an action game with stats the build only decides how fast you do it.
No. The picks below span turn-based, real-time and action RPGs, and each one says which it is.
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 rpg — 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 rpg guide for where to start in the genre generally.