Here is the full list of all 19 Marble Duel achievements.
Deal over 60 damage points in one turn
Deal over 30 damage points in one turn
Win the Roulette mini-game
Chain of 4 hits
Receive 3 additional sphere in one turn
Destroy the spheres in a moving string
Win a duel before 10 of your turns were up
Win a duel before 5 of your turns were up
Win a duel before 3 of your turns were up
Win the first duel
Win the Airplane mini-game
Win the Candles mini-game
Win the Cave mini-game
Chain of 6 hits
Chain of 8 hits
Kill all the crows in the Airplane mini-game
Receive 6 additional spheres in one turn
Receive 12 additional spheres in one turn
Win a duel without using red spheres