I wholeheartedly support FF4 and The World Ends With You, but I also think that Dragon Quest Monsters: Joker is worth mentioning. It's a pokemon-esque game combined with all the great gameplay of a DQ game. Also, as I say whenever I see this topic, Infinite Space, if you can find it.
Oh also the strategy fan in you might like Advance Wars Days of Ruin.
Oh also the strategy fan in you might like Advance Wars Days of Ruin.