Here is the full list of all 18 Nurbits achievements.
Overloaded a Preplaced chip
Completed a puzzle you designed
Used 3 effects on a single loop
Added an effect to a created loop
Opened the credits
Completed the spaceship song
Completed the arena song
Completed the club song
Exploded 5 or more chips at once
Scored over 200 on a puzzle
Achieved a three star rating on a puzzle
Improved your score by replaying a puzzle
Completed the basement song
Achieved a three star rating on all puzzles in the club song
Achieved a three star rating on all puzzles in the arena song
Achieved a three star rating on all puzzles in the spaceship song
Achieved a three star rating on all puzzles
Added a note to every square on the grid