Annyssa is a distinctive girls' name in United States, ranking #8387 in 1997 with 10 recorded births. The name reached its all-time peak in 1997 with 10 births ranking #8387. Since 1996, the popularity has increased by 100.0%. In 1997, approximately 1 in every 174,066 girls born was named Annyssa. FALLING Recent data shows the name is currently falling.