Here is the full list of all 20 MatchyGotchy achievements. It takes around 8-10 hours to unlock all of the achievements on Windows.
Let at least one star die.
Win the game! Get 100% explored on Xanadu.
Level Pirate Planet.
Level Speedy Sputnik.
Have your star fall asleep 10 times.
Take 300 selfies.
Play games a total of 50 times.
Clean up a total of 10 times.
Build a total of 1000 ships.
Level Doctor UFO.
Heal your stars a total of 10 times.
Level Spacey Galaxy.
Fill up hearts 100 times.
Build 10 ships and unlock Xanadu.
Eat 100 burgers.
Level Guru Moon.
Experience sugar rush 10 times.
Level Loony Lander.
Survive all stages: smol egg, tiny baby, awkward teen, rocket surgeon.
Level Matchy Star.