Here is the full list of all 29 Rescue bomber achievements.
Kill first enemie
Kill 50 enemies
Kill 200 enemies
Kill 1000 enemies
Kill 1500 enemies
Die
Die 10 times
Die 50 times
Die 100 times
Die 500 times
Finish all forest levels
Finish all snowland levels
Finish all desert levels
Finish all skull land levels
Finish story mode alone
Finish story mode with friend
Destroy 500 blocks
Destroy 1000 blocks
Destroy 2500 blocks
Destroy 5000 blocks
Play 1 vs mode round
Play 50 vs mode rounds
Play 150 vs mode rounds
Play 1 vs mode round with 3 friends
Play 10 vs mode rounds with 3 friends
Play 50 vs mode rounds with 3 friends
Play 1 vs mode round with at least 1 computer player
Play 10 vs mode rounds with at least 1 computer player
Play 100 vs mode rounds with at least 1 computer player