Anyssa is a distinctive girls' name in United States, ranking #1581 in 2003 with 122 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has increased by 54.4%. In 2003, approximately 1 in every 14,976 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.