Anica is a distinctive girls' name in United States, ranking #4619 in 2010 with 31 recorded births. The name reached its all-time peak in 2001 with 39 births ranking #3419. Since 1996, the popularity has increased by 55.0%. In 2010, approximately 1 in every 57,333 girls born was named Anica. FALLING Recent data shows the name is currently falling.