Here is the full list of all 42 Parcel Corps trophies - there are 28 bronze, 9 silver, 4 gold and 1 platinum.
Unlock all trophies
Encounter SWOT cops
Get up after being knocked down
Hold up traffic for 30 seconds
Grind down from top of construction site in Plazaria
Perform 300 tricks
Get busted
Shake a bobby off
Break through the stained glass window in the cathedral
Grind for 3650 metres
Knock over 62 obstacles
Preform a triple wallride
Ring your bell to startle a pedestrian
Travel to Old Town
Travel to Plazaria
Travel to Seaside Pier
Travel to Chinatown
Travel to Factory
Travel to Corporate Dystopia
Travel to Citadel
Do a double wall plant
Rate Jess
Customise your bike
Sprint for 1000 metres
Give a wee fella a kickin'
Beat Mamil's time to unlock Strift App
Complete a delivery in overtime
Hold a wheelie for 10 seconds
Slide under the attack helicopter on bridge to Citadel
Purchase a new bike frame
Speak to an NPC in every level
Unlock a shortcut
Earn 10 tips from Pulse chat
Complete a mission after completing the main story
Earn over $400 in a delivery rush session
Unlock the HM SPIFFING mini-game
Complete a retaliation mission
Max out loyalty with a business
Destroy all com towers
Sign up all businesses
Achieve a zone rep higher than 3
Complete the story