Here is the full list of all 28 Timothy's Night trophies - there are 8 bronze, 14 silver, 5 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.
Find what is lost within The Grandfather's labyrinth.
Get all the life improvements.
Find 15 pieces of fish to help the lady find her cat.
Find all the hot dogs Otis has lost.
Help Jeff with 30 urgent deliveries.
Find 30 of the hot dogs Otis lost.
Find four more hidden dynamites.
Get all the power improvements.
Find the dynamite in the port area.
Complete the driving challenge of The Grandfather's thug.
Find the dynamite in the police station area.
Open the gates of the city center.
Find the dynamite in the cemetery area.
Catch The Grandfather's thug to get the key of the cemetery.
Get all the weapons.
Eliminate the aliens at Elizabeth's restaurant.
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.