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