Allysa is a distinctive girls' name in United States, ranking #4126 in 2012 with 36 recorded births. The name reached its all-time peak in 1998 with 150 births ranking #1220. Since 1996, the popularity has decreased by 69.7%. In 2012, approximately 1 in every 48,910 girls born was named Allysa. FALLING Recent data shows the name is currently falling.