Here is the full list of all 38 Destroy All Humans! (PS2) trophies - there are 19 bronze, 15 silver, 3 gold and 1 platinum.
Unlock all other trophies.
Collect a total of 50,000 DNA without using the Mmm… Brains! Cheat.
Extract 250 brains from living humans.
Destroy 500 vehicles.
Fully upgrade the saucer's Quantum Deconstructor.
Tip 100 cows.
Complete all side missions in Capitol City.
Fully upgrade the Ion Detonator.
Achieve 100% completion.
Complete "Attack of the 50 Ft. President!"
Collect all Probes.
Fully upgrade the Disintegrator Ray.
Collect all Probes in Capitol City.
Destroy 50 robots.
Kill a total of 1,000 humans.
Assassinate 50 politicians.
Fully upgrade Psychokinesis.
Complete all side missions in Union Town.
Fully upgrade the Zap-O-Matic.
Collect all Probes in Union Town.
Assume 40 identities.
Complete "Armiquist vs. the Furons!"
Complete all side missions in Area 42.
Collect all Probes in Area-42.
Fully upgrade the saucer's Sonic Boom.
Complete "Duck and Cover!"
Complete all side missions in Santa Modesta.
Complete "Suburb of the Damned."
Fully upgrade the saucer's Death Ray.
Collect all Probes in Santa Modesta.
Complete "The Island Suburbia."
Complete all side missions in Rockwell.
Collect all Probes in Rockwell.
Complete "Citizen Crypto."
Complete all side missions in Turnipseed Farm.
Complete a side mission with the Bulletproof Crypto code enabled.
Collect all Probes in Turnipseed Farm.
Complete "Destination Earth!"