...
A donkey. :-)
The Axiom of Choice = given any collection of mutually disjoint nonempty sets, it is possible to assemble a new set—a transversal or choice set—containing exactly one element from each member of the given collection.
So if you had several herds of brown mammals---shall we say, camels, horses, donkeys, goats, sheep, dogs, deer, perhaps even the browns of all mammals---you could collect together a mated pair (maybe this two is a cheat, but two gametes are needed to make a whole, so a pair can act in concert as one element) of each species and combine them in a menagerie or zoo.
Noah's Ark might qualify as a brown, furry axiom of choice.
OK. So pairs don't count.
Perhaps a fashion entrepreneur wants to stage a display of the latest designs in furs, and so travels around to every furrier, and selects from each warehouse the most spectacular designs, each in a different species of brown pelt. Worn by models with brown hair coming from all parts of the world, the resulting extravaganza could be titled "The Axiom of Choice."
