The best rpg games like Lost Odyssey are Final Fantasy X, Blue Dragon and Sea of Stars. 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 Lost Odyssey 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 mainline entry this is most in conversation with.
Sakaguchi's other Xbox 360 RPG, lighter and more traditional.
A modern turn-based RPG built on this era's strengths.
The best-presented turn-based RPG of the last decade.
The Judgement Ring makes every action a timing check — the same idea, earlier.
Modern Square-Enix turn-based combat at its sharpest.
The biggest JRPG story of the modern era.
Turn-based combat with reactive defence, and extraordinary art direction.
Timed inputs on every attack, from the PS1 generation.
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 Lost Odyssey — 9 picks, no genre filter.
Final Fantasy X. The mainline entry this is most in conversation with.
No. Lost Odyssey released on the Xbox 360, 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 Lost Odyssey 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.