Don't forget about multiple possible approaches and factors.
Take a specific case of an earth elemental:
-You could directly use an Earth fundamental to animate stone directly by your will. Add Awareness to make it self motivated.
-You could use an Animation fundamental to grant motion to stone, but it'd be more a construct that resembles an earth elemental rather than something with it's full traits. Add Awareness to make it self motivated.
-You could use a Transport fundamental to yank one from the elemental plane. It'd be free to act. Add Control to tame it.
Then you need to consider, what makes Transport so special that it can grab elementals, angels and animals alike? Does it need a specification fundamental or some means of identifying what to grab? Or is it limited in some other way?