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