Here is the full list of all 28 Minit trophies - there are 8 bronze, 14 silver, 5 gold and 1 platinum.
FIND AN ITEM, COIN, OR HEART WITH LESS THAN 1 SECOND LEFT
COMPLETE SECOND RUN
COMPLETE THE GAME WITHOUT KILLING ANY SNAKES
COMPLETE THE GAME
SHUT DOWN THE SWORD FACTORY
FIND ALL HOTEL GUESTS
USE ALL TELEVATORS
USE A TELEVATOR
VISIT THE ISLAND
TALK TO MARY
WATER THE DOG
BRING A GIFT TO THE DOG
FIND YOUR FIRST HEART
FIND AND DEFEAT THE OASIS GHOST
FIND YOUR FIRST TENTACLE
PLAY SOME REAL MUSIC
LET THE OLD PERSON FINISH TALKING
UNLOCK A NEW HOME
FIND YOUR FIRST COIN
FIND YOUR FIRST ITEM
UNLOCK ALL OTHER TROPHIES
FIND ALL ITEMS
FIND ALL COINS
FIND ALL HEARTS
FIND ALL TENTACLES
SOLVE ALL TEMPLE PUZZLES
COMPLETE THE GAME WITH 100% OF THE ITEMS, COINS, AND HEARTS
COMPLETE THE GAME IN 25 RUNS OR LESS