Here is the full list of all 22 Vektor Wars achievements.
First Robodude Rescue
Destroy 10 Robots
Rescue 25 Robodudes
Rescue all Robodudes
Unlock Iduzelum Valley in Story Mode
Unlock Sharkrang Citadel in Story Mode
Unlock Aeroux Desert in Story Mode
Unlock Demonlip Volcano in Story Mode
Unlock Eyeglare Islands in Story Mode
Unlock Xa'En City in Story Mode
Unlock Nessarus Town in Story Mode
Unlock Aniss Outpost in Story Mode
Destroy 100 Robots
Destroy 1000 Robots
Play each Game Mode
Destroy 5 big spaceships
Collect 10 Weapons
Collect all weapons
Shoot 10 enemies of 200 units away
Unlock all of the Story messages
Shoot 50 enemies of 200 units away
Complete Story Mode