Here is the full list of all 20 Nyan Cat: Lost In Space achievements.
Jumped on Gold Platforms 1000 times
100 Cow items collected
Ran 25 seconds without collecting any food
2000 bombs deactivated
20 enemies eliminated with Nyan Love
Played 10 times on Nyan Cat City theme
5 times jumped over a doggy in a game
42195 meters completed
x250 score multiplier reached in a game
Played in a world other than Space
A UFO abduction survived 100 times
Ran 1000 meters without touching any kind of enemies
100 bombs deactivated
5 pills collected in a game
Tac Nayn touched 9 times
Played with a skin other than NYAN CAT
Stayed on the lowest platforms at least for 30 seconds
A UFO abduction survived
Stayed on the highest platforms at least for 30 seconds
250 enemies eliminated with Nyan Love