Here is the full list of all 14 3D Billiards - there are Pool & Snooker - there are Remastered achievements worth 1,000 gamerscore.
Win your first game
Defeat all 8-Ball opponents
Defeat all 9-Ball opponents
Defeat all 10-Ball opponents
Defeat all Snooker opponents
Defeat all opponents across all disciplines
Win against a human opponent
Sink 100 balls
Sink 1,000 balls
Pot two balls with one shot
Pot three balls with one shot
Pot a ball on your first shot
Win in every room
Finish a game with each avatar