The types of birds "called" during the quest give different stacks of Soar, but you may only collect a certain number of them while on the quest; below amounts reflect needed amount to complete the achievement:
Goldwing Hawk: 15 stacks each (x2)
Forest Owl: 5 stacks each (x5)
Alpine Songbird: 1 stack each (x10)
The name of this quest is a reference to Spaceballs.