Annika is a distinctive girls' name in England & Wales, ranking #799 in 2002 with 31 recorded births. The name reached its all-time peak in 2013 with 49 births ranking #784. Since 1996, the popularity has increased by 121.4%. In 2002, approximately 1 in every 8,625 girls born was named Annika. FALLING Recent data shows the name is currently falling.