Annika is a distinctive girls' name in England & Wales, ranking #871 in 2001 with 26 recorded births. The name reached its all-time peak in 2013 with 49 births ranking #784. Since 1996, the popularity has increased by 85.7%. In 2001, approximately 1 in every 10,307 girls born was named Annika. FALLING Recent data shows the name is currently falling.