Here is the full list of all 14 Chess 2: The Sequel achievements.
Ranked up to Advanced Pawn
Won your first game
Ranked up to Knight
Ranked up to Advanced Knight
Ranked up to Bishop
Ranked up to Advanced Bishop
Ranked up to Rook
Ranked up to Advanced Rook
Ranked up to Queen
Ranked up to Advanced Queen
Ranked up to King
Ranked up to Advanced King
Ranked up to Master
Ranked up to Grandmaster