Alissa is a distinctive girls' name in England & Wales, ranking #900 in 1999 with 24 recorded births. The name reached its all-time peak in 2012 with 74 births ranking #573. Since 1996, the popularity has increased by 33.3%. In 1999, approximately 1 in every 11,737 girls born was named Alissa. FALLING Recent data shows the name is currently falling.