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