Aryssa is a distinctive girls' name in United States, ranking #3134 in 2004 with 49 recorded births. The name reached its all-time peak in 2003 with 58 births ranking #2709. Since 1996, the popularity has increased by 308.3%. In 2004, approximately 1 in every 37,472 girls born was named Aryssa. FALLING Recent data shows the name is currently falling.