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.
Assume 40 identities.
Tip 100 cows.
Destroy 500 vehicles.
Complete all side missions in Capitol City.
Fully upgrade Psychokinesis.
Achieve 100% completion.
Collect all Probes.
Collect all Probes in Capitol City.
Collect all Probes in Union Town.
Fully upgrade the Disintegrator Ray.
Collect all Probes in Area-42.
Complete "Attack of the 50 Ft. President!"
Assassinate 50 politicians.
Complete "Armiquist vs. the Furons!"
Destroy 50 robots.
Fully upgrade the saucer's Quantum Deconstructor.
Collect all Probes in Santa Modesta.
Complete all side missions in Union Town.
Collect all Probes in Rockwell.
Kill a total of 1,000 humans.
Complete "Duck and Cover!"
Fully upgrade the saucer's Sonic Boom.
Complete all side missions in Area 42.
Complete "Suburb of the Damned."
Fully upgrade the Ion Detonator.
Fully upgrade the Zap-O-Matic.
Complete all side missions in Santa Modesta.
Complete a side mission with the Bulletproof Crypto code enabled.
Fully upgrade the saucer's Death Ray.
Complete all side missions in Rockwell.
Complete "The Island Suburbia."
Collect all Probes in Turnipseed Farm.
Complete all side missions in Turnipseed Farm.
Complete "Citizen Crypto."
Complete "Destination Earth!"