Here is the full list of all 18 Cosmic Leap achievements.
Finished Level 1
Unlocked Swag Man!
Achieved an A grade!
Finished your first level!
Loaded the game!
Intercepted all crew members!
Unlocked all rocket ships!
Unlocked the Big Emperor!
Unlocked Mr. Host
Finished Level 2
Finished Level 3
Finished Level 4
Finished Level 5
Finished Level 6
Finished Level 7
Finished Level 8
Finished Level 9
Finished Level 10