Here is the full list of all 17 Chess Morph: The Queen's Wormholes achievements.
Morph into a king
Morph a pawn into a king
Morph into a queen
Morph a king into a queen
Morph into a knight 15x in a row
Jump over a gap
Morph a king into a pawn
Morph into a pawn 6x in a row and clear the level
Morph into a rook 6x in a row and clear the level
Morph 5 rooks into any other piece type and clear the level
Morph into a bishop 8x and clear the level
Morph 4 bishops into any other piece type and clear the level
Win the game
Use the same wormhole 6x or more and clear the level
Use wormholes 5x in a row and clear the level
Clear a level without using all wormholes
Use a wormhole