Anyssa is a distinctive girls' name in United States, ranking #2059 in 2005 with 91 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has increased by 15.2%. In 2005, approximately 1 in every 20,304 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.