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