Anyssa is a distinctive girls' name in United States, ranking #1668 in 1998 with 96 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has increased by 21.5%. In 1998, approximately 1 in every 18,405 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.