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