Anica is a distinctive girls' name in United States, ranking #5725 in 2009 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 2009, approximately 1 in every 76,536 girls born was named Anica. FALLING Recent data shows the name is currently falling.