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.
Build a total of 1000 ships.
Survive all stages: smol egg, tiny baby, awkward teen, rocket surgeon.
Level Guru Moon.
Play games a total of 50 times.
Level Pirate Planet.
Level Spacey Galaxy.
Build 10 ships and unlock Xanadu.
Level Loony Lander.
Heal your stars a total of 10 times.
Clean up a total of 10 times.
Fill up hearts 100 times.
Eat 100 burgers.
Let at least one star die.
Take 300 selfies.
Level Speedy Sputnik.
Experience sugar rush 10 times.
Level Doctor UFO.
Level Matchy Star.
Have your star fall asleep 10 times.