Alissa is a distinctive girls' name in England & Wales, ranking #744 in 2008 with 47 recorded births. The name reached its all-time peak in 2012 with 74 births ranking #573. Since 1996, the popularity has increased by 161.1%. In 2008, approximately 1 in every 6,718 girls born was named Alissa. FALLING Recent data shows the name is currently falling.