Yeah, they do, but aren't too difficult for the most part. A suggestion, though... if you aren't around level 60 by the time you reach "the last dungeon" (won't spoil anything for you, but you'll know when you're there,) go to the library on an island in the southwest corner of the world map. I haven't played in a while, so my memory of it's not too fond... but anyhow, its a tall & small island with a library on it, and a small patch of grass for you to park your airship on, and run around. You'll only fight two enemies on this island; one is a black cat who steals shit or something, just run away from them, they're worthless. The other one is the huge green dragon, who I could kill in two turns, before the dragon could even attack. These things give the most experience of any monster in the game (I believe) and is a great place to level up quickly.