Here is the full list of all 25 Aeon Drive achievements.
Beat the game
Collect 50 diamonds
Find VERA's data cube
Beat sector 8
During one run defeat enemies using slide, sword and dagger
Dash through an enemy
Beat sector 6
Beat sector 4
Retrieve your dagger 10 times
Beat sector 2
Unlock and view an item in the Gallery
Die 20 times
Teleport 100 times
Teleport 50 times
Collect 1 data cube
Collect 1 diamond
Use time capsules 10 times
Pick up 10 hot dogs
Unlock the secret ending
Finish all levels without using time capsules
Pick up 10 data cubes
Pick up all data cubes
Finish a level in under 10 seconds
Collect all diamonds
Stomp 10 enemies