Anyssa is a distinctive girls' name in United States, ranking #1958 in 2001 with 88 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has increased by 11.4%. In 2001, approximately 1 in every 20,461 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.