Here is the full list of all 18 Missile Command: Recharged achievements.
Upgrade Rebuild to maximum power level
Max out all available upgrades
Upgrade Reload to maximum power level
Upgrade Power to maximum power level
Upgrade Speed to maximum power level
Earn 20000 points in arcade
Destroy 50 the Carrier before it drops a missile
Destroy 25 the Scatterer before it drops its missiles
Get outsmarted by a Smart Bomb
Finish a level in Campaign after spending all missiles
Use all powerups
Earn 10000 points in arcade
Destroy 3 enemy missiles with a single shot
Earn 5000 points in arcade
Defeat the last boss
Finish a Campaign mission with a single Silo and a single City remaining
In Arcade revive 300 Silos
Survive 10 seconds with a single Silo remaining