Thrill of the Chase

An easy way to get it:

Step 1: Fly up high in the air (I did it at around 67, 67 but I guess you can do it anywhere if you're high enough)
Step 2: When you get the debuff, fly down at a slight angle and just keep "D" or "S" pressed to fly in a spiral. Additionally, you can keep the left mouse button pressed to fix your camera so you're not getting sick
Step 3: Congrats on your achievement!
Step 4 (optional): Escape the beast

In Voidstorm you will be chased by [spell=1227420] when you get high, so to complete this achievement you need fly to the top and when you see the monster fly away
Here is demo video https://www.youtube.com/watch?v=vkQcj1cCgwg

Only thing you need for this can do first try.

1. Fly high
2. pitch down very slightly
3. hold Turn + Strafe to circle at max speed for 60s.

Optional: Hold Left mouse button to stop camera from spinning.

No need to use a single ability during the entire 60 seconds.