Here is the full list of all 32 TENS! achievements.
Defeat Orcy The Miner in Story Mode
Play with the Football dice skin
Defeat Ambald the Alien in Story Mode
Defeat Midnight Cal in Story Mode
Play with the Sapphire dice skin
Defeat Swampy Catkin in Story Mode
Play Endless Mode for the first time
Defeat Red in Story Mode
Defeat Captain Joe Tenpest in Story Mode
Play with the Numerical dice skin
Unlock Professor Ostrowl as a playable character
Defeat Papa Miller
Play Multiplayer Mode for the first time
Complete the tutorial
Play with the Gold dice skin
Play multiplayer with Dicey Lou Vs Ashrantza the Spectacular
Score 1,000 points in Endless Mode
Score 100 points in Endless Mode without rotating a dice piece
Defeat Frosty Lumber in Story Mode
Defeat Chelarkoo the Chameleon in Story Mode
Play with the Polka Dot dice skin
Play with the Basketball dice skin
Score 10 TENS! in a game
Play Multiplayer Mode with Swampy Catkin and Frosty Lumber
Play Multiplayer Mode with Red and Chelarkoo The Chameleon
Score 2,500 points in Endless Mode
Score 250 points in Endless Mode without rotating a dice piece
Play with the Bones dice skin
Defeat Lady Desetine in Story Mode
Score 5,000 points in Endless Mode
Score 500 points in Endless Mode without rotating a dice piece
Complete all levels in Story Mode with 3 Stars