Here is the full list of all 27 MINIT achievements worth 1,000 gamerscore. It takes around 2-3 hours to unlock all of the achievements on Xbox One.
COMPLETE SECOND RUN
PLAY SOME REAL MUSIC
COMPLETE THE GAME WITH 100% OF THE ITEMS, COINS, AND HEARTS
WATER THE DOG
TALK TO MARY
LISTEN TO THE OLD PERSON
FIND ALL HEARTS
FIND ALL ITEMS
SOLVE ALL THE PUZZLES IN THE SECRET TEMPLE
FIND ALL TENTACLES
FIND ALL COINS
BRING A GIFT TO THE DOG
USE ALL TELEVATORS
USE A TELEVATOR
VISIT THE ISLAND
FIND YOUR FIRST TENTACLE
FIND YOUR FIRST COIN
FIND YOUR FIRST HEART
COMPLETE THE GAME
COMPLETE THE GAME WITHOUT KILLING ANY SNAKES
COMPLETE THE GAME IN 25 RUNS OR LESS
SHUT DOWN THE SWORD FACTORY
FIND ALL HOTEL GUESTS
FIND AND DEFEAT THE OASIS GHOST
UNLOCK A NEW HOME
FIND AN ITEM, COIN, OR HEART WITH LESS THAN 1 SECOND LEFT
FIND YOUR FIRST ITEM