Alissa is a distinctive girls' name in England & Wales, ranking #594 in 2009 with 64 recorded births. The name reached its all-time peak in 2012 with 74 births ranking #573. Since 1996, the popularity has increased by 255.6%. In 2009, approximately 1 in every 4,896 girls born was named Alissa. FALLING Recent data shows the name is currently falling.