Answer:
When I get closer my tail grows longer but when I go away my tail leads the way.
In Paris but not in France the thinnest of its siblings.
Take off my skin I won't cry but you will.
I start with an E end with an E and have a letter in me.
My head bobs lazily in the sun. You think I'm cute, for my face is yellow, my hair is white and my body is green. What am I?
Those with eyes bigger than their stomach will definitely leave the restaurant with one of them. It is named after a house pet as well.