Outside of their actual nicknames Odd's given his team, some other examples are;

Mauve: "Your Majesty", Ms. Daisy, A Chara

Barb: Nibbler, Sweet Tooth

HAL: Magneto, DJ Drone (that has some history to it)

Joseph: Jaws, Fishman

Yggy: Green Giant

Kat: Sealgaire (also used by Odd's dad)