Allysa is a distinctive girls' name in United States, ranking #1220 in 1998 with 150 recorded births. The name reached its all-time peak in 1998 with 150 births ranking #1220. Since 1996, the popularity has increased by 26.1%. In 1998, approximately 1 in every 11,779 girls born was named Allysa. FALLING Recent data shows the name is currently falling.