Here is the full list of all 30 Dimension Drive achievements.
Defeat Ancilia
Defeat Hydra v.76736F00
Defeat Gemini Obliterator
Read the game credits (5s or more)
Fire 1 million bullets or more
Collect all data cubes before fighting Nies ( world 3 )
Collect all datacubes on the asteroids ( world 2 )
Collect all datacubes on the space station ( world 1 )
Unlock the Plasma weapon
Raise the multiplier in any level to 99
Complete level 2-3 without killing anybody
Collect all datacubes
Activate your first generator to open a door
Activate your first switch to open a door
Complete a run level( either 1-3, 2-3 or 3-3) in 2 player mode
Complete the game
Perform more than 10000 jumps
Perform more than 5000 jumps
Perform more than 2000 jumps
Perform more than 1000 jumps
Perform more than 500 jumps
Complete 13 levels without receiving a single energy warning
Complete 8 levels without receiving a single energy warning
Complete 4 levels without receiving a single low energy warning
Defeat Nies without receiving a single hit or energy warning
Complete the game in Insane difficulty
Obtain rank B or above in all levels
Obtain rank A or above in all levels
Obtain rank S in all levels
Complete the escape in level 1-3 without receiving a single hit