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