Here is the full list of all 37 Abyss Manager achievements.
Get a Relic
Get 5 Relics
Get 20 Relics
Get all Relics
Finish 1 Research
Finish 5 Researches
Finish all Researches of one type
Finish 30 Researches
Finish all Researches
Win a league match
Win 20 league matches
Promoted to Champion League
Promoted to Premier League
Win the league title of Premier League
Have a Character with 15+ STR
Have a Character with 15+ DEX
Have a Character with 15+ INT
Have a Character with 20 STR
Have a Character with 20 DEX
Have a Character with 20 INT
Win 3 League Titles
Win 5 League Titles
Defeat 100 enemies
Defeat 1000 enemies
Access to 10 Regions
Access to 30 Regions
Access to all Regions
Complete 25 Explorations
Complete 100 Explorations
Complete the Stamp Album
Gain 30000 Coins totally
Gain 50000 Coins totally
Gain 100000 Coins totally
Gain 200000 Coins totally
Gain 500000 Coins totally
Reach Manager Level 50
Reach Abyss Level 5 Stars