Here is the full list of all 40 Destroy All Humans! achievements. It takes around 10-12 hours to unlock all of the achievements on Windows.
Complete all optional mission objectives! (Use the Holopoxdeck if you have to.)
Destroy humanity's last hope and initiate the subjugation of the species
Destroy the pathetic human attempt at a robot overlord
Destroy a certain irritating simian warlord once and for all
Display Furonic aeronautic prowess by soaring through giant human pastry without soiling your feet
Ace all challenges!
Invade Capitol City
Invade Union Town
Set something on fire, then use it to destroy a hapless human
Evade a rocket by dashing
Demonstrate Furon free spirit near a warning sign placed by the human authorities
Obtain at least a two-star rating for each challenge type
Ace an Armageddon challenge with a three-star rating
Ace a Race challenge with a three-star rating
Abduct a cow with your saucer
Invade Area 42
Fully upgrade one of the branches of a weapon or ability
Abduct and drain a vehicle to replenish your saucer's shields
Transmogrify an object to replenish your ammunition
Accelerate Brain Extract or Transmog by mashing that button like you mean it
Re-visit a mission in the mothership archive's Holopoxdeck
Explore the more offbeat parts of the mothership
Upgrade your saucer at Pox's Lab in the mothership
Use your saucer's Repulse-O-Tron to fend off homing missiles
Try out a new look for Crypto in the mothership's archives
Ace a Rampage challenge with a three-star rating
Revisit a missionless invasion site and complete a challenge there
Ace an Abduction challenge with a three-star rating
Throw a human into the air and juggle them
Invade Santa Modesta
Use PK to destroy a human with another human
Destroy a human with a weapon and another with a psi ability at the same time
Destroy multiple humans with a human-made explosive
Throw something into something else with the saucer's Abducto Beam
Stay covert by scanning primitive human thoughts
Invade Rockwell
Upgrade Crypto at Pox's Lab in the mothership
Consume a human brain to kickstart your shield regeneration
Recover a Furon Probe
Invade Turnipseed Farm