Here is the full list of all 11 Dog Fight achievements.
Played 10 games of Rabbit
Played 10 games of Invasion
Reached wave 10
Reached wave 5
Reached wave 1
Loaded up the game
Reached wave 15
Reached wave 20
Played 10 games of Tag Team
Played 10 games of Free For All
Played 10 games of Team Free For All