Anica is a distinctive girls' name in United States, ranking #4671 in 1997 with 22 recorded births. This places Anica in the top 29% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2001 with 39 births ranking #3419. In 1997, approximately 1 in every 79,121 girls born was named Anica. FALLING Recent data shows the name is currently falling.