Blue Chocobos are one of the hardest ones (so far) to beat and get. They are Ravagers and are found in The Archelyte Steppe ???AF. Their stats are as follows:

HP: 90768

Chain resistance: 70

Stagger point: None (I know, right?)

Common drop: Chocobo Plume

Rare drop: ???

Status immunities: Poison, Fog, Pain,

Fire: Halved

Ice: Immune

Lightning: Halved

Wind: Halved

Mele: Normal

Magic: Normal

As a pet, their racial attribute is Kill: ATB Charge, and are level one organic critters.