As far as I'm aware, there's one "ordinary" and one "shiny" color for each species of Pokemon. There are a few exceptions to this rule, like Deerling, but that's the usual way it goes.

[Robo proceeds to start flexing and showing off as soon as he hears what Elsa has to say about him. Twilight is unimpressed, but she keeps the camera on him so Elsa can get a good look.]

Careful, you'll give him a big head. Not that he's really the grandstander among my group, but still.