Odin's instant kill attack is called "Steel-Bladed Sword." I assume it was called this because the translators didn't think we'd accept Zantetsuken which we actually prefer. His second attack is reserved only for boss monsters because an instant kill wouldn't be fair. It is a spear throw attack called "Gunge Lance."

Choco/Mog's attacks are generated randomly. For the most part, you'll often see "Choco/Mog." However, on rare occasions, you can bare witness to the funny-looking "Fat Chocobo" dropping atop your enemies.