Here is the full list of all 21 Challenging Dogfights achievements.
Destroy 40 units of Ju 87.
Destroy 80 units of MS 109.
Destroy 60 units of MS 109.
Play 30 times with the Cobra.
Destroy 100 units of MS 109.
Earn 3 stars at mission 7.
Complete mission 7.
Earn 3 stars at mission 6.
Complete mission 6.
Earn 3 stars at mission 5.
Complete mission 5.
Earn 3 stars at mission 4.
Complete mission 4.
Earn 3 stars at mission 3.
Play 30 times with the MP 51.
Complete mission 3.
Earn 3 stars at mission 2.
Earn 3 stars at mission 1.
Play 30 times with the V 11.
Complete mission 2.
Complete mission 1.