umm...i think no...for now... but you can try other game like Super robot Taisen OG,Valkyrie Profile,or Suikoden Tierkries....
Final Fantasy XII, Fire Emblem, Final Fantasy Tactics Grimoire of the Rift, and there's another one I played for five minutes and deleted so I forgot the name, but those three games are pretty similar to the battle style but as the story goes they're all pretty different compared to Luminious Arc. Hope I helped a little =P
There is no game similar to Luminous Arc, cause that game was too good If you liked the game, you should look in Atlus DS releases which are all good here's the list on gamefaqs http://www.gamefaqs.com/features/company/10608.html DS releases are at the end have fun
Do you want turn by turn fantasy strategy? If so these are some games I enjoyed the first Luminous arc (in case you've only played 2) Drone tactics, it's also atlus. if you play this one, just skip the story. Fire Emblem, I broke my ds playing this series =D I cannot stress how great this series is, specifically rekka no ken, even though its for GBA
