Here is the full list of all 27 Super Bomb Rush achievements.
Unlock Versus Mode
Unlock Co-op Mode
Unlock Goal Rush Mode
Clear Arcade Mode
Clear Master Mode
Clear Legendary Mode
Play a round of Versus Mode
Clear Co-op Mode
Accumulate 5000 attempts in total
Accumulate 1,000,000 Rush Coins
Reach MLG Rank
Activate a Bonus Button
Defuse a Legendary Bomb
Completed the Master Exploder Challenge
Completed the Legends Never Die Challenge
Completed the Pro Hobbyist Challenge
Completed the Play It Again, Sam Challenge
Completed the Master Of Defusal Challenge
Completed the Hey, Big Spender Challenge
Completed the Frenemies Challenge
Completed the Bestest Buds Challenge
Completed every challenge
Completed a Social Challenge
Reset your game progress
Completed an Elite Challenge
Clear Goal Rush Mode
Completed an Uber Challenge