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