Anastazia is a distinctive girls' name in United States, ranking #3267 in 2004 with 46 recorded births. The name reached its all-time peak in 2004 with 46 births ranking #3267. Since 1996, the popularity has increased by 91.7%. In 2004, approximately 1 in every 39,916 girls born was named Anastazia. RISING Recent data shows the name is currently rising.