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