Fairy = Normal. Chansey, Clefairy, Snubble Togetic, etc are all fairies or fairy-like, and they're all normal types.
It's funny how people only remember the Normal-types in the Fairy Egg-group.
Fully aware of that. The most fairy-like ones are normal (Pikachu doesn't really seem fairy-like at all for instance). And the fact that the fairy egg group consists of several types only proves that there doesn't need to be a fairy type to have fairy Pokémon.