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