Alissa is a distinctive girls' name in England & Wales, ranking #555 in 2010 with 72 recorded births. The name reached its all-time peak in 2012 with 74 births ranking #573. Since 1996, the popularity has increased by 300.0%. In 2010, approximately 1 in every 4,459 girls born was named Alissa. FALLING Recent data shows the name is currently falling.