Here is the full list of all 26 Bombe achievements.
2000 HEXAGON levels cleared
3000 HEXAGON levels cleared
4000 HEXAGON levels cleared
5000 HEXAGON levels cleared
5500 HEXAGON levels cleared
2000 SQUARE levels cleared
3000 SQUARE levels cleared
4000 SQUARE levels cleared
5000 SQUARE levels cleared
5500 SQUARE levels cleared
2000 TRIANGLE levels cleared
3000 TRIANGLE levels cleared
4000 TRIANGLE levels cleared
5000 TRIANGLE levels cleared
5500 TRIANGLE levels cleared
2000 GRID levels cleared
3000 GRID levels cleared
4000 GRID levels cleared
5000 GRID levels cleared
5500 GRID levels cleared
Collect all variables
Create a region of exactly 20
Complete 5500 levels in three region mode
Complete 5500 levels in sixty rule mode
Complete 5500 levels in no variables mode