Aryssa is a distinctive girls' name in United States, ranking #3933 in 2006 with 38 recorded births. The name reached its all-time peak in 2003 with 58 births ranking #2709. Since 1996, the popularity has increased by 216.7%. In 2006, approximately 1 in every 50,028 girls born was named Aryssa. FALLING Recent data shows the name is currently falling.