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
Play a friendly challenge with 3 different friends.
Complete 100 Daily Quests
Use 100 Resource Tokens
Use 250 Power Tokens
Win a Ranked battle with 8 different Masters
Win a Ranked Battle with less than 100 Health left
Complete 30 Achievements
Complete 50 Daily Quests
Craft a Legendary card
Use 50 Resource Tokens
Win 100 Ranked Battles
Craft a Common card
Win 50 Ranked Battles
Complete 25 Daily Quests
Play 5 spells in a row during a Ranked Match and then win
Craft a Rare card
Use 20 Resource Tokens
Use 100 Power Tokens
Reach the Silver League
Acquire a collection of 150 cards
Complete 10 Daily Quests
Complete 15 Achievements
Craft a Supreme card
Create 3 decks
Acquire a collection of 100 cards
Win against 8 different Masters
Reach the Bronze League
Win 10 Ranked Battles
Use 25 Power Tokens
Watch a replay
Complete 3 Daily Quests
Complete 5 Achievements
Reach the Stone League
Win 3 Ranked Battles
Acquire a collection of 50 cards
Complete 5 solo challenges
Complete 10 solo challenges