There was once a bright-white cow which travelled round the world, giving milk enough for all comers. Whoever drank of her milk immediately became wise.
Hares are widespread geographically, so hare stories are widespread culturally. But hares take on a surprising variety of roles in folklore, myth & legend.
Today, moles are usually unappreciated residents of our gardens and fields, but they are embedded in folklore and for centuries were used in remedies.
One could write an encyclopaedia on the appearances of birds in folklore and their association with death and mortality, travelling from Japan to Scandinavia, France and beyond.