Dragon
One of the coolest things about Kuja is the fact that he has his very own dragon. And it's a cool dragon.
Unfortunately, Kuja's dragon doesn't really have a name. Kuja merely calls it Silver Dragon, which is pretty undescriptive. Even though it doesn't have a name, Kuja still treats it like a pet. He is constantly seen with it, seeing as how he uses it to get around the world. It must fly pretty smoothly since Kuja can stand on it without falling off. It seems to understand Kuja quite well, since it understands simple commands like fly and descend.
Not only does Kuja's dragon fly him all over the world, it protects him as well (not that he needs much protection). On disc 3, you even get to fight it! Below is a strategy for beating Kuja's dragon (although it's sad having to hurt it...)
Level: 58
HP: 24,055
MP: 9,999
Steal: Kaiser Knuckle, Dragon Mail, Elixir
Location: Pandemonium
Recommended Party: Zidane, Amarant, Steiner, Eiko
Being a dragon and all, Silver Dragon tends to use wind attacks. However, these are some pretty fierce wind attacks -- one will hit everyone for a lot of damage. It also has another attack that hits everyone that does even more damage, which involves a white ball of energy hitting you. Gin Ryuu is your typical twister attack, and Claw does an obnoxious amount of damage to a single character. Naturally, you're going to want to use Eiko to cure a lot. Zidane, Steiner, and Amarant should just be used to pound the heck out of the dragon. Make sure your characters don't drop below 2,000 HP, or you might be in a bit of danger. With patience and a lot of cure spells, you should be able to take him down fairly quickly. A word of advice: equip auto-regen for everyone!