Emergence

One question people spend a lot of blood, sweat, and tears thinking about is the emergence of the classical world from the quantum world. The real question all these studies must grope with is what is special about the classical world. But what if we ask the following question: what other types of worlds can emerge from the quantum world? Is it possible to think of some artificial setting where a totally bizarre world emerges from the quantum world? I don’t know if I’ve ever seen this: it seems like everything I do gets me to something which is either classical or quantum or in the convex sum of these two theories.