Here is the full list of all 32 Rocket Assault achievements.
Destroy 1 Target
Destroy 10 Targets
Destroy 50 Targets
Destroy 100 Targets
Destroy a target from a long distance
Destroy 5 targets from a long distance
Destroy 20 targets from a long distance
Destroy 50 targets from a long distance
Destroy a target using your car
Destroy First Boss
Destroy a moving target
Destroy 5 moving target
Die from high altitude
Die from a rocket hit
Die from a volcanic rock
Get 10 stars
Get 25 stars
Get 50 stars
Get 3 stars on a level
Get 3 stars on 5 levels
Get 3 stars on 10 levels
Get 3 stars on 21 levels
Get 5 Stars
Complete 1 level
Complete 3 levels
Complete 10 levels
Complete 21 levels
Die from falling into the water
Take a shortcut on the canyon
Take 2 shortcuts on the canyon
Die from a laser hit