Anica is a distinctive girls' name in United States, ranking #4411 in 2000 with 27 recorded births. The name reached its all-time peak in 2001 with 39 births ranking #3419. Since 1996, the popularity has increased by 35.0%. In 2000, approximately 1 in every 67,258 girls born was named Anica. FALLING Recent data shows the name is currently falling.