Here is the full list of all 25 Timothy vs the Aliens trophies - there are 7 bronze, 11 silver, 6 gold and 1 platinum.
Complete all the trophies.
Get rid of the alien invasion.
Finish Stockii off.
Explore the inside of the mothership.
Get to reach the mothership's gate.
Destroy the wall to the inside of The Grandfather's building.
Get all the weapons.
Find the dynamite in the police station area.
Find the dynamite in the cemetery area.
Get all the life improvements.
Find the object lost within The Grandfather's labyrinth.
Find all the hot dogs Otis has lost.
Open the gates of the city center.
Find the dynamite in the port area.
Find 30 of the hot dogs Otis lost.
Get all the power improvements.
Catch The Grandfather's thug to get the key of the cemetery.
Eliminate the aliens at Elizabeth's restaurant.
Complete the driving challenge of The Grandfather's thug.
Get the master key to use the cars.
Find Luciano in the city sewers.
Save Elizabeth from the alien.
Catch The Grandfather's thug to get the key to his building.
Get to leave Timothy's building upon the alien arrival.
Get to Timothy's house after fighting The Grandfather.