Persona 4: Dancing All Night is an amazing rhythm game with incredible music that even had me singing along. While I didn't really like the storytelling or the low amount of songs in the game, I still enjoyed my time spent with the game.
Overall, I think Lost Dimension is a great game. It has a few technical problems here and there but the core gameplay is really fun and the unique playthroughs are a plus. However, the story could have been much better and could have had a lot more depth to it.