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