Razzy is different. She has an external source that was given by the Judges here. Any of us can have something like that, it attaches to the bracers. [ker-points out the materia slot on his]
If you wanted something like that, you could ask the black team for a mission to earn it.
The spells that I know are offensive and defensive, mostly. I know how to use fire spells like the girl on the black team, so that is definitely something that can be someone's own ability, not something that you caused.