Allyssa is a distinctive girls' name in United States, ranking #660 in 1998 with 349 recorded births. The name reached its all-time peak in 1998 with 349 births ranking #660. Since 1996, the popularity has increased by 21.2%. In 1998, approximately 1 in every 5,063 girls born was named Allyssa. FALLING Recent data shows the name is currently falling.