The best rpg games like Final Fantasy Tactics Advance are Final Fantasy Tactics, Final Fantasy Tactics A2 and Fell Seal: Arbiter's Mark. 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 Final Fantasy Tactics Advance 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 original, harder and far darker, and the deepest job system in the genre.
The direct sequel, with the law system rebuilt to be fair.
An indie built directly on Final Fantasy Tactics with a kinder difficulty.
Systems-heavy tactics from the same designers.
The genre's current standard, with the roster-building to match.
Modern turn-based tactics with a serious story.
The best new tactical RPG in years.
Squad-based tactics with a campaign long enough to live in.
Tactics where taking your turn means driving the unit under fire.
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 Final Fantasy Tactics Advance — 9 picks, no genre filter.
Final Fantasy Tactics. The original, harder and far darker, and the deepest job system in the genre.
No. Final Fantasy Tactics Advance released on the Game Boy Advance, 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 Final Fantasy Tactics Advance 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.