What method can be used to peel an Avocado without damaging it?
In my experience, the most important part of peeling an avocado without damaging it is to first select an avocado that is perfectly ripe.  A perfectly ripe avocado will yield to gentle pressure in the palm of your hand.  Once you've selected appropriately, halve it lengthwise and whack the pit with a heavy, sharp knife and lift it out.  Then use your fingers to gently remove the peel. If the peel does not separate cleanly, try it again with a less ripe avocado.