Here is the full list of all 24 Cooperative Chess achievements.
Complete the tutorial.
Win a game with a friend.
Complete all the puzzles.
Win a Solo game.
Win a game with 4 or more queens (non-Custom).
Win 10 normal games.
Win a game with a stalemate instead of checkmate (non-Custom).
Win 5 easy games.
Win a hard game.
Win a game without capturing any pieces (non-Custom).
Play a game with 3 different people.
Play a game with 5 different people.
Win a game in the first round.
Play a game.
Play 5 games.
Play 10 games.
Play 25 games.
Play 50 games.
Play 75 games.
Play 100 games.
Play 125 games.
Play 150 games.
Play 175 games.
Play 200 games.