Annika is a distinctive girls' name in England & Wales, ranking #937 in 2008 with 34 recorded births. The name reached its all-time peak in 2013 with 49 births ranking #784. Since 1996, the popularity has increased by 142.9%. In 2008, approximately 1 in every 9,287 girls born was named Annika. FALLING Recent data shows the name is currently falling.