Here is the full list of all 67 Battle Chess: Game of Kings achievements.
Win 10 Online Games
Promote the Pawn to all four legal pieces
Witness all 3 Queen vs. Knight battles
Witness both Knight vs. Queen battles
Take out the King with a Knight
Witness all 3 Pawn vs. Rook battles
Witness both Bishop vs. Rook battles
Witness both King vs. Queen battles
Witness both King vs. Bishop battles
Complete a Pawn En Passant
Witness all 3 Pawn vs. Queen battles
Win 1 Online Game
Defeat the computer on Clergyman difficulty
Take out the King with a Rook
End a game with a Stalemate
Witness all 3 Queen vs. Bishop battles
Witness both King vs. Knight battles
Defeat the computer on Nobleman difficulty
Witness both Rook vs. Queen battles
Witness all 3 Queen vs. Rook battles
Take out the King with a Pawn
Perform both a Queen-side and King-side castle
Defeat the computer on Artisan difficulty
Complete 10 Games versus the computer
Witness both Knight vs. Rook battles
Witness both Knight vs. Bishop battles
Witness all 3 Bishop vs. Pawn battles
Witness both Bishop vs. Queen battles
Witness both Rook vs. Knight battles
Witness both Rook vs. Bishop battles
Witness all 3 Queen vs. Queen battles
Witness both King vs. Pawn battles
Witness both King vs. Rook battles
Witness all 3 Pawn vs. Knight battles
Take out the King with a Bishop
Resign from 10 games
Complete all 3 "Hard" Skill Challenges
Complete all 3 "Easy" Skill Challenges
Complete all 3 "Medium" Skill Challenges
Finish a game using traditional chess pieces
Defeat the computer on Farmer difficulty
Put the King in Check 20 times
Defeat the computer on Monarch difficulty
Witness both Bishop vs. Bishop battles
Witness all 3 Queen vs. Pawn battles
Complete a Pawn Promotion
Perform a Checkmate on any level
Defeat the computer on Peasant difficulty
Witness all 3 Pawn vs. Pawn battles
Witness all 3 Pawn vs. Bishop battles
Witness both Knight vs. Knight battles
Witness all 3 Knight vs. Pawn battles
Witness both Bishop vs. Knight battles
Witness both Rook vs. Rook battles
Witness all 3 Rook vs. Pawn battles
Take out the King with a Queen
End a game with a Draw
Complete a game using the Game Clock
Complete 50 Games versus the computer
Complete 100 Games versus the computer
Complete 150 Games versus the computer
Complete 250 Games versus the computer
Complete 300 Games versus the computer
Win 50 Online Games
Win 100 Online Games
Win a timed game by Flagging your opponent
Allow a timed game to finish even though you have the ability to Flag your opponent