Annice \a-nni-ce\ as a girl's name is a variant of Agnes (Greek), Anice (Greek), Ann (Hebrew) and Annis (Greek), and the meaning of Annice is "pure, holy; satisfaction; He (God) has favored me".
The baby name Annice sounds like Annise, Annisa, Anneyce, Anise, Eunice, Unice, Janice, Jennice, Jenice and Jannice. Other similar baby names are Annick, Annie, Annica and Arnice.