Juuni Kokki, "Twelve Kingdoms" - gorgeously done high fantasy; if you have any interest in fantasy (whether or not you like anime) I can't recommend it highly enough. It starts out on the slow side but it sweeps you away. Magnificent world-building, characters who evolve in amazing ways; also the cutest talking giant-mouse-person ever - no, really, Rakushun is reason enough to watch it all by himself ^^