Here is the full list of all 13 Lazy Galaxy achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Conquered One Galaxy
Stay Offline for 3 Days
Complete all Trader researches
Launch 6 different ships into space (at the same time)
Have one of powerplant, Fuel Factory, ore refinery and none of automatic mine, solar panel, fuel platform
Click on each different building once (last 11 clicks should land on 11 different buildings)
Have 11 different buildings, each upgraded to level 11
Complete all Scientist researches
Conquer 5 star systems
Destroy 100 bosses
Gain 100 Candy
Complete all Scavenger researches
Crush 1000 meteors. Savage!