Now that the classification of infinite dimensional simple separable unital C*-algebras with finite nuclear dimension and which satisfy the UCT is complete, it becomes an interesting question to determine the range of the invariant for certain naturally-occurring subclasses. I will discuss joint work in progress with Robin Deeley and Ian Putnam that considers this question for the C*-algebras arising from groupoids associated to minimal dynamical systems. In particular, I will discuss dynamical constructions which realize certain prescribed Elliott invariants.