This paper explores the rich diversity in structural possibilities that are available for (simple) nominal
expressions in Australian languages. First, I identify a number of construction types found across a 50 language sample, which may
be recognised by using a restricted set of parameters. I show that an important factor is whether a given parameter (such as word
order) is generalised or displayed only by some word classes. Second, I develop a four-way typology based on how the construction
types cluster in individual languages. Two types are described to some extent in the literature, but I provide a more detailed
characterisation: one mostly has flexible, non-phrasal expressions and the other mostly rigid noun phrases. The other two types
have not been described as such. One mostly has flexible phrases, which combine internal flexibility with phrasal case marking,
and the other has distinct construction types depending on the type of modifier.