Future Boy Conan II: Taiga Adventure.

A young boy named Taiga travels around the world with his archeologist father, Dr. Daino. They visit the continent of South America to investigate an ancient ruins discovered by treasure hunters. There they find a stone statue of a gigantic bird which stands more than 50 meters tall. To their surprise, the stone bird wakes up and flies away from the very spot it remain motionless. It turns out that the stone bird is called "Oobats" and when obtains a relic called the "Ooparts Egg", it will become a dangerous weapon which could destroy the whole universe. Taiga must hunt down the bird to prevent world wide disaster.