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