No surprise you haven't heard of Terry Dowling, he's Australian. His "Rynosseros" cycle has a style which I feel was heavily influenced by Smith. So you might call him a Cordwainer Smith imitator. But still original enough to be worth checking out.

The Bester novels that made me think of Cordwainer Smith are "The Demolished Man" and "Tyger! Tyger!" (which has a different title in the US, and I can't remember right now what it is). Not as Peculiar, but still unconventional in its style and worldbuilding.

Do you have any favorites amongst Smith's works?

It's hard to pick!