For which console?
Here's my recommended titles (based on what I played and liked), so there are CLASSIC and also NOT-SO-CLASSIC :)
Nintendo DS:
* Suikoden Tierkreis (turn-based, lots of characters to recruit)
* Tales of Innocence (with English Patch, also on PSVita)
* Golden Sun Dark Dawn (turn-based, a bit like Pokemon in which you have to capture little creatures that gives you abilities outside battle and skills in battle)
* Final Fantasy III (also on PSP)
Nintendo 3DS:
* Bravely Second End Layer (avoid first "Bravely Default" if you can, there is a VERY BORING part)
* Monster Hunter Stories (turn-based, also on Switch, you capture the monsters of MH series and they become your companions in battles, nice and cheerful graphics)
* The Legend of Zelda A Link between worlds (Zelda title, with a nice mechanic and colourful graphics)
* YoKai series (my fav is the first title, even if shorter than 2 and 3, Pokemon-like with a very original way to do the battles)
PSP:
* Final Fantasy VII Crisis Core (turnbased / action-rpg, remade or remastered on Switch)
* Riviera The Promised Land (turn-based, you use skill based on equipped items, also remade for Switch, I don't remember the mechanics perfectly but I liked it a lot)
* Phantasy Star Portable 2 (action rpg, lots of weapons, great story, no need for English patch if you don't want to play Infinity)
PSVita:
* YS 8 Lacrimosa of Dana (also on Switch, a huge world to explore and real time action battles)
* Sword Art Online Hollow Realization (also on Switch, huge world, lots of items and skills)
* Odin Sphere (from a ps2 game, beautiful artworks and great action battles in 2d enviroments)
* Exist Archive (battles like Valkyrie Profile game, they say it was bugged but it crashed on me only once)
Surely I forgot many titles, but it's something already; if you're curious about a title you don't know, look for some gameplay videos so you can see for yourself the graphics and the general settings to understand if you can like it, I only tried to explain briefly.
Enjoy whatever you will play next among all the titles people is suggesting!