If you want a few recommendations that I think are particularly great for their combat mechanics:

• Etrian Odyssey - Regular encounters are no slouch, FOEs are a terror, status effects hella matter, and you always have to carefully gauge how far you can push before it's time to retreat back to town. IMO, 4 is the peak.
• Bravely Default - The ability to bank your turns or take an advance on future turns adds a really cool layer to combat. As a spiritual successor to FF5, the job system gives you lots of fun toys to play with and encourages you to constantly change up your builds.
• Tales of series - These games are partially inspired by fighting games, and if you squint hard enough you can see those influences in the early titles before it started to go off in more of its own direction. I think Vesperia is the most polished, though I actually want to suggest starting with Symphonia for the story/characters, because otherwise you'll find it a hard game to go back to since it doesn't have the Free Run mechanic from later games. The trick is that you won't miss it if you play Symphonia first.
• CrossCode - Closest thing I can try to compare this to would be Secret of Mana, if that game was faster and significantly more technical.
• The World Ends With You - If you can, play the original DS version to fully enjoy how it was built around the hardware. If you can't, the Switch version is still worth playing, and does have some cool added content to compensate for some of the sacrifices made to adapt it to a single screen.