Here is the full list of all 16 Bomb Club Deluxe achievements.
Open the Workshop door
Open the Garden door
Open the Castle door
Complete every level of the main campaign
Earn a gold medal in every level of the main campaign
Complete every bonus level
Earn a gold medal in every bonus level
Defeat Bomberbot
Earn a gold medal against Bomberbot
Defeat Bomberbot (hard)
Earn a gold medal against Bomberbot (hard)
Unlock all the Nitronomicon entries
Get a score of 10 or higher in a "Test of Speed" level
Detonate a total of 1000 bombs
Detonate a total of 150 color bombs
Make a chain of 10 consecutive explosions