Here is the full list of all 20 Premium Pool achievements.
Beat opponent in a match without them scoring
Win 5 online matches in a row
Win a game by pocketing all balls in a row in 8 Ball
Get 7 hit streak
Get 6 hit streak
Win a match when opponent pockets 8 ball prematurely
Win your first online match
Pocket two balls in one shot
Collect 1,000,000 coins
Collect 10 million coins
Play 100 online matches
Play 1000 online matches
Win 10 matches in a row
Play in 5 different locations
Own 10 cues
Play a tournament and claim rewards
Achieve level 10 in a tournament
Win a tournament without losing a match
Play 100 matches in the tournament mode
Play 500 matches in the tournament mode