Anyssa is a distinctive girls' name in United States, ranking #1585 in 2002 with 117 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has increased by 48.1%. In 2002, approximately 1 in every 15,357 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.