Here is the full list of all 14 Travelers in Space Crack achievements.
Become space traveler
To occupy a planet
to occupy 5 planets
To occupy 10 planets
Reach the 5th dimension
Reach the 6th dimension
Reach the 7th dimension
Reach the 8th dimension
Reach the 9th dimension
Reach the 10th dimension
Reach the 4th dimension
to occupy 15 planets
to occupy 20 planets
Complete the tutorial