Turn-based: Bravely Default. A stellar evolution of FF5 that gives you so many toys to play with, and the titular Brave/Default mechanic opens up a lot of cool ideas just by giving you flexibility in when to take your turn. Specifically BD1 and Second though, I felt like BD2 was a massive step back by trying to introduce a turn order system at the expense of no longer queueing everyone together at once.
Action: Tales. Hard to pick just one, and there are still a bunch I haven't played, but I think I'll go with Vesperia specifically for all the advanced tech it allowed for.
Honorable mention to CrossCode as well, but I know someone's gonna debate whether it counts as J or if it's just sparkling Secret of Mana.