Her Majesty Queen Elizabeth does not have nicknames.
Good Queen Bess and the Virgin Queen are two amongst many.
Good Queen Bess, Gloriana, The Virgin Queen
Elizabeth Imus goes by Elizabeth Imus-Zero, and Elizabeth Zero.
Elizabeth Reiners goes by Beth.
Elizabeth Sampson goes by Sam.
Kayla Elizabeth goes by Kaylala.
Elizabeth Mulkey goes by Lizzy.
Elizabeth Manley goes by Liz.
Elizabeth Lindgren goes by Libby.
Elizabeth Sepulveda goes by Beth.
Elizabeth Arbilon goes by Noalyn.