One example of a irrational toy I have seen recently on Yankodesign.com and it's called Echo. It is a soft creature without face but with a big ears and a peculiar wooden trumpet instead of mouth. The ears are connected to the trumpet using the string-phone fashion so Echo responds when a child is whispering some secrets into its ear.
It was created by Emi Schenkelbach.
Another really nice design which stayed in my memory since I have first seen in in Mint Design shop in London a year ago. It is called Buba and it was produced by Alon Meron.
Buba is a guardian against dark matter and its magical power comes from children's fallen milk teeth. I think this is a beautiful story. And here again Buba doesn't have face - he has two rows of sharp teeth that scare the ghosts and monsters of the night.