Here is the full list of all 21 Vesta achievements.
Destroy 25 enemies.
Complete the first chapter.
Shoot 50 times.
Destroy 30 crates.
Complete the second chapter.
Destroy 5 Punchers.
Use 50 energy drums.
Complete the third chapter
Read 5 consoles.
Finish the game.
Destroy 5 enemies.
Destroy 10 MinePlanters.
Find all secrets.
Destroy 10 patrollers.
Find 25 secretos.
Activate 20 checkpoints.
Find 5 secrets.
Use 5 energy drums.
Use 25 energy drums.
Find 50 secrets.
Destroy 50 enemies.