Anyssa is a distinctive girls' name in United States, ranking #2985 in 2006 with 57 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has decreased by 27.8%. In 2006, approximately 1 in every 33,352 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.