Alissa is a distinctive girls' name in England & Wales, ranking #781 in 2003 with 34 recorded births. The name reached its all-time peak in 2012 with 74 births ranking #573. Since 1996, the popularity has increased by 88.9%. In 2003, approximately 1 in every 8,196 girls born was named Alissa. FALLING Recent data shows the name is currently falling.