Alissa is a distinctive girls' name in England & Wales, ranking #883 in 2004 with 30 recorded births. The name reached its all-time peak in 2012 with 74 births ranking #573. Since 1996, the popularity has increased by 66.7%. In 2004, approximately 1 in every 9,529 girls born was named Alissa. FALLING Recent data shows the name is currently falling.