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