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