Anica is a distinctive girls' name in United States, ranking #5283 in 2005 with 24 recorded births. The name reached its all-time peak in 2001 with 39 births ranking #3419. Since 1996, the popularity has increased by 20.0%. In 2005, approximately 1 in every 76,987 girls born was named Anica. FALLING Recent data shows the name is currently falling.