I got this from Xbox360achievements.org Thanks to Pashos for the great guide!!
You can get this on Level 4, Maiden Rock. Once you collect the four totem pieces that you stack on top of each other, one will get stolen by a vulture. When you get on the eagle and fly after the vulture, you will notice orange rings that turn green once the vulture goes through them. You have to fly through them as well.
Don't press to speed up because you will more than likely end up missing the next ring. You don't have to press to brake at many places either. Maybe at the end but even then, the turns are wide enough to make without slowing down. If you miss a ring, fly into a wall to die so you can start over.