Alima is a distinctive girls' name in England & Wales, ranking #1083 in 2003 with 21 recorded births. The name reached its all-time peak in 2005 with 23 births ranking #1082. Since 1996, the popularity has increased by 31.3%. In 2003, approximately 1 in every 13,270 girls born was named Alima. FALLING Recent data shows the name is currently falling.