Anastashia is a distinctive girls' name in United States, ranking #5821 in 1998 with 17 recorded births. The name reached its all-time peak in 1998 with 17 births ranking #5821. Since 1996, the popularity has increased by 41.7%. In 1998, approximately 1 in every 103,935 girls born was named Anastashia. FALLING Recent data shows the name is currently falling.