Allysa is a distinctive girls' name in United States, ranking #2585 in 2008 with 72 recorded births. The name reached its all-time peak in 1998 with 150 births ranking #1220. Since 1996, the popularity has decreased by 39.5%. In 2008, approximately 1 in every 26,260 girls born was named Allysa. FALLING Recent data shows the name is currently falling.