Here is the full list of all 12 Crystal Quest Classic achievements.
Score 10,000 points
Score 1,000,000 points
Score 10,000,000 points
Have 30 lives in hand
Have 30 smart bombs in hand
1,000,000 points on first life
1,000,000 points with no smart bombs
Destroy 30 nasties with 1 smart bomb
Complete wave 40
Avoid mines for 20 straight levels
Collect 30 bonus crystals
Complete first wave in 5 seconds