Here is the full list of all 36 Super Monkey Ball: Banana Blitz HD achievements.
Clear the Decathlon
Change the costumes of all characters except Sonic and clear a stage with each of them
Obtain over 8000 points in Seesaw Ball's Normal Course (single-player only)
Obtain over 2500 points in the Monkey Target party game (single-player only)
Obtain over 3000 points in the Whack-a-Mole party game (single-player only)
Clear the Normal Course of Hovercraft Race in 01:30.00 or less (single-player only)
Obtain over 2500 points in the Slingshot party game (single-player only)
Clear a stage as Sonic the Hedgehog
Clear the Normal Course of Dangerous Route with 02:00.00 or more remaining (single-player only)
Clear the Expert Course in Time Attack Mode
Clear the Standard Course in Time Attack Mode
Obtain over 5000 points in the Space Monkey Attack party game (single-player only)
Clear the Normal Course of Monkey Snowboard in 01:40.00 or less (single-player only)
Throw over 110m in the Hammer Throw party game (single-player only)
Clear the Hurdle Race in 00:20.00 or less (single-player only)
Clear the Casual Course in Time Attack Mode
Obtain 10 Champion Medals
Collect a combined total of 3600 bananas through the Main Game and Time Attack Mode
Obtain 9 Champion Medals
Clear World 10
Clear World 9
Obtain 8 Champion Medals
Clear 100 stages in the Main Game using the same character
Clear World 8
Clear World 7
Clear World 6
Clear World 5
Clear World 4
Obtain 4 Champion Medals
Clear World 3
Clear World 2
Obtain secret bananas from any stage
Clear World 1
Unlock all achievements
Clear Time Attack Mode 36 times
Clear the Decathlon 36 times