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