Alima is a distinctive girls' name in England & Wales, ranking #1082 in 2005 with 23 recorded births. The name reached its all-time peak in 2005 with 23 births ranking #1082. Since 1996, the popularity has increased by 43.8%. In 2005, approximately 1 in every 12,533 girls born was named Alima. FALLING Recent data shows the name is currently falling.