You gotta play Bravely Second! It's the best game out of the three by a landslide imo. It rebalanced the job system so that combining skills is more consequential and added a few more jobs that are mechanically interesting such as exorcist (a job that specializes in reverting the game state, like unkilling an ally or unspending your MP).

Its plot is also very well told. I mean, it's just a final fantasy game so it's not revolutionary or anything but it has a metanarrative that is unforgettable because of a certain moment that you'll know when you get there.

Consider playing the demo too because it's essentially a prologue; it has some story and character development that isn't in the main game at all.

Also if you like Pokemon then you'll probably like the Yokai Watch series too. They're the same genre but Yokai Watch is goofier, has better writing, a bigger world, and just has more effort put into it in general. Though its battle system is less strategic, it's not a big deal if you're playing casually. The 3D is gorgeous too fwiw

I recommend you play 1 first because it's the most basic and some of its plot gets referenced later, but it's not that important tbh. 2 and 3 are both fantastic though and are very different from each other so you should play both. Concurrently, even, because they're pretty distinct.

(btw Psychic Specters is the definitive version of 2. YW1 doesn't have separate versions. And the definitive version of YW3 is the only one that got localized)