Here is the full list of all 21 Space Carrot achievements.
Travel 4 km
Touch 20 asteroids
Travel 3 km
Gather 80 carrots
Gather 60 carrots
Evade asteroids for 40 seconds
Gather 40 carrots
Get your ship smashed against Gravity asteroid
Travel 2 km
Touch 10 asteroids
Spend too much time without fuel
Evade asteroids for 20 seconds
Get your ship smashed against Volcanic asteroid
Get your ship smashed against Carrot asteroid
Get your ship smashed against Electro asteroid
Gather 20 carrots
Travel 1 km
Touch 5 asteroids
Gather 10 carrots
Get your ship smashed against Simple asteroid