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