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