Anica is a distinctive girls' name in United States, ranking #3992 in 2007 with 39 recorded births. The name reached its all-time peak in 2001 with 39 births ranking #3419. Since 1996, the popularity has increased by 95.0%. In 2007, approximately 1 in every 49,294 girls born was named Anica. FALLING Recent data shows the name is currently falling.