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