Here is the full list of all 38 Minion Masters achievements. It takes around 200 hours to unlock all of the achievements on Windows.
Win 500 Ranked Battles
Use 250 Power Tokens
Play a friendly challenge with 3 different friends.
Use 100 Resource Tokens
Complete 100 Daily Quests
Acquire a collection of 150 cards
Use 100 Power Tokens
Complete 30 Achievements
Complete 50 Daily Quests
Use 50 Resource Tokens
Craft a Legendary card
Win a Ranked battle with 8 different Masters
Complete 25 Daily Quests
Win 100 Ranked Battles
Use 20 Resource Tokens
Acquire a collection of 100 cards
Craft a Supreme card
Complete 10 Daily Quests
Win a Ranked Battle with less than 100 Health left
Win 50 Ranked Battles
Play 5 spells in a row during a Ranked Match and then win
Use 25 Power Tokens
Complete 15 Achievements
Reach the Silver League
Craft a Rare card
Craft a Common card
Win against 8 different Masters
Complete 3 Daily Quests
Create 3 decks
Reach the Bronze League
Win 10 Ranked Battles
Watch a replay
Complete 5 Achievements
Reach the Stone League
Win 3 Ranked Battles
Acquire a collection of 50 cards
Complete 10 solo challenges
Complete 5 solo challenges