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