The best rpg games like Fire Emblem Three Houses are Fire Emblem: Three Hopes, Fire Emblem: Path of Radiance and Triangle Strategy. Below are 10, 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 Fire Emblem Three Houses 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 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.
For the calendar half — social links, a school year, and a second life at night.
An indie built directly on Final Fantasy Tactics, with a kinder difficulty.
Squad-based tactics with a campaign long enough to live in.
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.
Specifically, these are strong answers for Fire Emblem Three Houses that are not rpg 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.
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 Fire Emblem Three Houses 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.