Here is the full list of all 21 Turba achievements.
Finish a song of at least 1 minute in each game mode
Accumulate 1,000,000 lifetime points
Accumulate 10,000,000 lifetime points
Unlock all Special Powers
Reach pro level 3 with every Special Power
In Ascend mode and on Moderate or Intense difficulty, disarm no bombs and still pass the song (min. 10 bombs spawned)
Pass a song while clearing every last Silver Block (min. 10 Silvers spawned)
Activate your Special Power 4 times on a song less than 2 minutes long
Reach pro level 3 with any one Special Power
You are one with the music and reached a Beat Streak of 15
Clear 1,500 combos
On your first clear of a round in Ascend or Descend, gain enough points to fill your Special Bar
Select a combo of each color and make it so all the combos touch and link together
Rack up 500,000 points on any song less than 5 minutes long, before endgame bonuses
Clear a combo (one color) of 20 or more blocks
Clear 3,000 combos
Review your 12 pages of stats and find that nothing is at zero (Lowest Round Score excluded)
In Ascend mode and on Intense difficulty, pass a song while scoring 250,000 points and activating no Special Powers
Complete 100 songs of at least 1 minute in length
Pass a song in Descend mode without any blocks falling off the screen while scoring at least 200,000 points
In one combo, clear at least 5 blocks of each color, 2 silver blocks and 1 bomb block. Those red blocks are real party animals.