I like Lilian, just so you can be called 'Lily', or Colette. That's so cute. I basically like any name that can be abbreviated, as that's something I'll never get as my parents chose my name specifically for that reason!
I call any Amy buddies I have "Ames" (like, aims) Do you not get that?
I go one step further and just use 'Ame'
It happens so rarely that I don't consider it a nickname