Alysa is a distinctive girls' name in United States, ranking #808 in 2002 with 286 recorded births. The name reached its all-time peak in 2001 with 325 births ranking #737. Since 1996, the popularity has increased by 20.7%. In 2002, approximately 1 in every 6,283 girls born was named Alysa. FALLING Recent data shows the name is currently falling.