Anyssa is a distinctive girls' name in United States, ranking #1618 in 1997 with 98 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has increased by 24.1%. In 1997, approximately 1 in every 17,762 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.