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