Here is the full list of all 13 Backgammon Blitz achievements.
Use every Power-Up at least once
Win an online game against a player with a higher rank
Complete all tutorials
Win a game on all 4 Backgammon sets
Roll a double of each number
Use 3 different Power-Ups in a single game
Win by a Gammon
Take an opponent's nip
Re-Double the stakes of a game
Block all 6 of the home board points
Play 5 local multiplayer games
Win 3 online games in a row
Win by a Backgammon