First off, grow up. I'm using caps for emphasis, not for screaming. If you want to debate the uniqueness of Thaumaturge over any of the classic FF mage names, that's fine. Thaumaturge essentially means magic user, magician, a catch-all. The fact that it's actually in the dictionary just goes to show how generic it is.
Again, there is nothing generic about Red Mage, White Mage, Black Mage, etc. They are unique because they were created by Hironobu Sakaguchi.