Good RPGs like FF? No. Not yet anyway.

Enchanted Arms is a decent game that's as close to FF as you'll get right now, but not worth getting a 360 for. The PS3 version is actually worse.

Oblivion is not FF style, but it could be a good step for you to broaden your horizons when it comes to games. If you're going for the 360, get used to Western Style games.

In the future, Blue Dragon and Lost Odyssey are both supposed to be coming out this year, and they're both from the creator of Final Fantasy. You could wait for those. Also, there's The Last Remnant coming out eventually from Square-Enix.

Back on the Western RPG side, Mass Effect is probably one of the biggest games coming out this year on the 360. You could give that a shot.

If all your looking for is Final Fantasy types, the 360 isn't really the place for that. There are a few games coming that would appeal to you so it's not completely barren, but don't write off stuff like Oblivion and Mass Effect because it's not like FF. (You can write off Enchanted Arms though.)