Strangely the bunny as an Easter symbol seems to have it's origins in Germany, where it was first mentioned in German writings in the 16th Century. The first edible Easter bunnies appeared in Germany during the early 1800s, they were made of pastry and sugar.
In the UK children believe that if they are good the "Easter Bunny " will leave (chocolate) eggs for them.
Sadly hare hunting (hare coursing) used to be a common pastime at Easter. But this might please some of the more fundamentalist Christians, who consider the fluffy fellow to be unchristian.