Anyssa is a distinctive girls' name in United States, ranking #4866 in 2015 with 28 recorded births. The name reached its all-time peak in 2000 with 122 births ranking #1505. Since 1996, the popularity has decreased by 64.6%. In 2015, approximately 1 in every 63,738 girls born was named Anyssa. FALLING Recent data shows the name is currently falling.