Anyssa is a distinctive girls' name in United States, ranking #2716 in 2007 with 67 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has decreased by 15.2%. In 2007, approximately 1 in every 28,693 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.