Here is the full list of all 75 Inca Marbles achievements.
Complete level 8 with 3 stars
Complete level 8
Complete level 7
Complete level 7 with 3 stars
Complete level 6
Complete level 6 with 3 stars
Complete level 5
Complete level 5 with 3 stars
Complete level 4
Complete level 4 with 3 stars
Complete level 3
Complete level 3 with 3 stars
Complete level 2
Complete level 2 with 3 stars
Collect color remover bonus
Collect shuriken bonus
Collect slow line bonus
Collect fullcolor bonus
Complete level 1 with 3 stars
Complete level 1
Collect stop line bonus
Collect fireball bonus
Collect reverse bonus
Get 2 combos with a single shot
Match three or more light blue marbles
Match three or more green marbles
Match three or more blue marbles
Match three or more orange marbles
Match three or more violet marbles
Match three or more red marbles
Lose the game
Complete level 9
Complete level 10
Complete level 11
Complete level 12
Complete level 13
Complete level 14
Complete level 15
Complete level 16
Complete level 17
Complete level 18
Complete level 19
Complete level 20
Complete level 21
Complete level 22
Complete level 23
Complete level 24
Complete level 25
Complete level 26
Complete level 27
Complete level 28
Complete level 29
Complete level 30
Complete level 9 with 3 stars
Complete level 10 with 3 stars
Complete level 11 with 3 stars
Complete level 12 with 3 stars
Complete level 13 with 3 stars
Complete level 14 with 3 stars
Complete level 15 with 3 stars
Complete level 16 with 3 stars
Complete level 17 with 3 stars
Complete level 18 with 3 stars
Complete level 19 with 3 stars
Complete level 20 with 3 stars
Complete level 21 with 3 stars
Complete level 22 with 3 stars
Complete level 23 with 3 stars
Complete level 24 with 3 stars
Complete level 25 with 3 stars
Complete level 26 with 3 stars
Complete level 27 with 3 stars
Complete level 28 with 3 stars
Complete level 29 with 3 stars
Complete level 30 with 3 stars