Anice is a given name. Notable people with the name include:
Anice Badri (born 1990), Tunisian footballer Anice Das (born 1985), Indian-born Dutch speed skater Anice George, Indian nurse and academic Anice Johnson (1919–1992), American politician Anice Ladd Whitney (1877–1950), American writer on labor issues
Fictional characters with the name include:
Anice Farm, from the anime television series Sonic Soldier Borgman