Annica is a distinctive girls' name in United States, ranking #5224 in 2004 with 24 recorded births. The name reached its all-time peak in 2007 with 37 births ranking #4140. Since 1996, the popularity has increased by 71.4%. In 2004, approximately 1 in every 76,505 girls born was named Annica. STABLE Recent data shows the name is currently stable.